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120233031120 = 24325827201923
BaseRepresentation
bin110111111111001110…
…0100111010111010000
3102111100020122211002200
41233332130213113100
53432214123443440
6131122335043200
711454325621266
oct1577634472720
9374306584080
10120233031120
1146a99458924
121b375970500
13b4515681c7
145b68286436
1531da686c30
hex1bfe7275d0

120233031120 has 120 divisors (see below), whose sum is σ = 404272848096. Its totient is φ = 32023213824.

The previous prime is 120233031119. The next prime is 120233031173. The reversal of 120233031120 is 21130332021.

120233031120 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 330 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 120233031093 and 120233031102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494479 + ... + 696401.

Almost surely, 2120233031120 is an apocalyptic number.

120233031120 is a gapful number since it is divisible by the number (10) 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 120233031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202136424048).

120233031120 is an abundant number, since it is smaller than the sum of its proper divisors (284039816976).

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

120233031120 is a wasteful number, since it uses less digits than its factorization.

120233031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202769 (or 202760 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120233031120 its reverse (21130332021), we get a palindrome (141363363141).

The spelling of 120233031120 in words is "one hundred twenty billion, two hundred thirty-three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 827 1654 2481 3308 4135 4962 6616 7443 8270 9924 12405 13232 14886 16540 19848 24810 29772 33080 37215 39696 49620 59544 66160 74430 99240 119088 148860 198480 201923 297720 403846 595440 605769 807692 1009615 1211538 1615384 1817307 2019230 2423076 3028845 3230768 3634614 4038460 4846152 6057690 7269228 8076920 9086535 9692304 12115380 14538456 16153840 18173070 24230760 29076912 36346140 48461520 72692280 145384560 166990321 333980642 500970963 667961284 834951605 1001941926 1335922568 1502912889 1669903210 2003883852 2504854815 2671845136 3005825778 3339806420 4007767704 5009709630 6011651556 6679612840 7514564445 8015535408 10019419260 12023303112 13359225680 15029128890 20038838520 24046606224 30058257780 40077677040 60116515560 120233031120