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121220010 = 23354353197
BaseRepresentation
bin1110011100110…
…10101110101010
322110002121121000
413032122232222
5222013020020
620010055430
73001232052
oct716325652
9273077530
10121220010
116247542a
123471a576
131c163322
1412156562
15a997090
hex739abaa

121220010 has 128 divisors (see below), whose sum is σ = 338722560. Its totient is φ = 30820608.

The previous prime is 121219999. The next prime is 121220017. The reversal of 121220010 is 10022121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121219974 and 121220001.

It is not an unprimeable number, because it can be changed into a prime (121220017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 615232 + ... + 615428.

It is an arithmetic number, because the mean of its divisors is an integer number (2646270).

Almost surely, 2121220010 is an apocalyptic number.

121220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169361280).

121220010 is an abundant number, since it is smaller than the sum of its proper divisors (217502550).

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

121220010 is a wasteful number, since it uses less digits than its factorization.

121220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 121220010 is about 11009.9959128058. The cubic root of 121220010 is about 494.9083393181.

Adding to 121220010 its reverse (10022121), we get a palindrome (131242131).

The spelling of 121220010 in words is "one hundred twenty-one million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 53 54 86 90 106 129 135 159 197 215 258 265 270 318 387 394 430 477 530 591 645 774 795 954 985 1161 1182 1290 1431 1590 1773 1935 1970 2279 2322 2385 2862 2955 3546 3870 4558 4770 5319 5805 5910 6837 7155 8471 8865 10441 10638 11395 11610 13674 14310 16942 17730 20511 20882 22790 25413 26595 31323 34185 41022 42355 50826 52205 53190 61533 62646 68370 76239 84710 93969 102555 104410 123066 127065 152478 156615 187938 205110 228717 254130 281907 307665 313230 381195 448963 457434 469845 563814 615330 762390 897926 939690 1143585 1346889 1409535 2244815 2287170 2693778 2819070 4040667 4489630 6734445 8081334 12122001 13468890 20203335 24244002 40406670 60610005 121220010