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12031020002232 = 233371123163192949
BaseRepresentation
bin1010111100010011000010…
…1011000110101110111000
31120121011011110200111012000
42233010300223012232320
53034104012110032412
641330550240221000
72351132614460550
oct257046053065670
946534143614160
1012031020002232
113919366163690
12142383830a760
1369369c1a62aa
142d84396a0160
1515ce4b37c4dc
hexaf130ac6bb8

12031020002232 has 512 divisors, whose sum is σ = 43744389120000. Its totient is φ = 2970720023040.

The previous prime is 12031020002191. The next prime is 12031020002257. The reversal of 12031020002232 is 23220002013021.

12031020002232 is a `hidden beast` number, since 120 + 310 + 2 + 0 + 0 + 0 + 2 + 232 = 666.

12031020002232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62256894 + ... + 62449842.

It is an arithmetic number, because the mean of its divisors is an integer number (85438260000).

Almost surely, 212031020002232 is an apocalyptic number.

12031020002232 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 12031020002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21872194560000).

12031020002232 is an abundant number, since it is smaller than the sum of its proper divisors (31713369117768).

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

12031020002232 is a wasteful number, since it uses less digits than its factorization.

12031020002232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193168 (or 193158 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12031020002232 its reverse (23220002013021), we get a palindrome (35251022015253).

The spelling of 12031020002232 in words is "twelve trillion, thirty-one billion, twenty million, two thousand, two hundred thirty-two".