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120233112012 = 2232134327721569
BaseRepresentation
bin110111111111001110…
…0111011000111001100
3102111100020210221001200
41233332130323013030
53432214134041022
6131122340505500
711454326406156
oct1577634730714
9374306727050
10120233112012
1146a99503682
121b3759ab290
13b451595c80
145b682a7ad6
1531da6a0bac
hex1bfe73b1cc

120233112012 has 144 divisors (see below), whose sum is σ = 336137561760. Its totient is φ = 36002340864.

The previous prime is 120233111989. The next prime is 120233112031. The reversal of 120233112012 is 210211332021.

120233112012 is a `hidden beast` number, since 1 + 202 + 331 + 120 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5563564 + ... + 5585132.

Almost surely, 2120233112012 is an apocalyptic number.

120233112012 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 120233112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168068780880).

120233112012 is an abundant number, since it is smaller than the sum of its proper divisors (215904449748).

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

120233112012 is a wasteful number, since it uses less digits than its factorization.

120233112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21912 (or 21907 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120233112012 its reverse (210211332021), we get a palindrome (330444444033).

The spelling of 120233112012 in words is "one hundred twenty billion, two hundred thirty-three million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 277 387 468 516 554 559 774 831 1108 1118 1548 1662 1677 2236 2493 3324 3354 3601 4986 5031 6708 7202 9972 10062 10803 11911 14404 20124 21569 21606 23822 32409 35733 43138 43212 47644 64707 64818 71466 86276 107199 129414 129636 142932 154843 194121 214398 258828 280397 309686 388242 428796 464529 560794 619372 776484 841191 927467 929058 1121588 1393587 1682382 1854934 1858116 2523573 2782401 2787174 3364764 3709868 5047146 5564802 5574348 5974613 8347203 10094292 11129604 11949226 12057071 16694406 17923839 23898452 24114142 33388812 35847678 36171213 48228284 53771517 71695356 72342426 77669969 107543034 108513639 144684852 155339938 215086068 217027278 233009907 256908359 310679876 434054556 466019814 513816718 699029721 770725077 932039628 1027633436 1398059442 1541450154 2312175231 2796118884 3082900308 3339808667 4624350462 6679617334 9248700924 10019426001 13359234668 20038852002 30058278003 40077704004 60116556006 120233112012