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121120402032 = 2433743991237
BaseRepresentation
bin111000011001101010…
…1101010101001110000
3102120122002101221011000
41300303111222221300
53441023310331112
6131350354322000
711515322300430
oct1606325525160
9376562357130
10121120402032
1147404344813
121b582b89300
13b56335c456
145c100762c0
15323d51b7dc
hex1c3356aa70

121120402032 has 160 divisors (see below), whose sum is σ = 398235622400. Its totient is φ = 34526621952.

The previous prime is 121120402003. The next prime is 121120402037. The reversal of 121120402032 is 230204021121.

It is a happy number.

121120402032 is a `hidden beast` number, since 1 + 211 + 20 + 402 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121120401996 and 121120402014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120402037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1281918 + ... + 1373154.

It is an arithmetic number, because the mean of its divisors is an integer number (2488972640).

Almost surely, 2121120402032 is an apocalyptic number.

121120402032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121120402032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199117811200).

121120402032 is an abundant number, since it is smaller than the sum of its proper divisors (277115220368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121120402032 is a wasteful number, since it uses less digits than its factorization.

121120402032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91700 (or 91688 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121120402032 its reverse (230204021121), we get a palindrome (351324423153).

The spelling of 121120402032 in words is "one hundred twenty-one billion, one hundred twenty million, four hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 439 504 756 878 1008 1317 1512 1756 2634 3024 3073 3512 3951 5268 6146 7024 7902 9219 10536 11853 12292 15804 18438 21072 23706 24584 27657 31608 36876 47412 49168 55314 63216 73752 82971 91237 94824 110628 147504 165942 182474 189648 221256 273711 331884 364948 442512 547422 638659 663768 729896 821133 1094844 1277318 1327536 1459792 1642266 1915977 2189688 2463399 2554636 3284532 3831954 4379376 4926798 5109272 5747931 6569064 7663908 9853596 10218544 11495862 13138128 15327816 17243793 19707192 22991724 30655632 34487586 39414384 40053043 45983448 68975172 80106086 91966896 120159129 137950344 160212172 240318258 275900688 280371301 320424344 360477387 480636516 560742602 640848688 720954774 841113903 961273032 1081432161 1121485204 1441909548 1682227806 1922546064 2162864322 2242970408 2523341709 2883819096 3364455612 4325728644 4485940816 5046683418 5767638192 6728911224 7570025127 8651457288 10093366836 13457822448 15140050254 17302914576 20186733672 30280100508 40373467344 60560201016 121120402032