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12102013120032 = 25321197163307787
BaseRepresentation
bin1011000000011011100000…
…1100010110111000100000
31120211221102002202112120100
42300012320030112320200
53041234410324320112
641423331005142400
72356225111145433
oct260067014267040
946757362675510
1012102013120032
1139464869a8870
12143554b85aa00
1369a2a42bb3c4
142dba5215181a
1515ec03c602dc
hexb01b8316e20

12102013120032 has 576 divisors, whose sum is σ = 38336459825664. Its totient is φ = 3590884638720.

The previous prime is 12102013120013. The next prime is 12102013120037. The reversal of 12102013120032 is 23002131020121.

12102013120032 is a `hidden beast` number, since 121 + 0 + 201 + 312 + 0 + 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 = 12102013119987 and 12102013120014.

It is not an unprimeable number, because it can be changed into a prime (12102013120037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15377398743 + ... + 15377399529.

It is an arithmetic number, because the mean of its divisors is an integer number (66556353864).

Almost surely, 212102013120032 is an apocalyptic number.

12102013120032 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 12102013120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19168229912832).

12102013120032 is an abundant number, since it is smaller than the sum of its proper divisors (26234446705632).

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

12102013120032 is a wasteful number, since it uses less digits than its factorization.

12102013120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1370 counting only the distinct ones).

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

Adding to 12102013120032 its reverse (23002131020121), we get a palindrome (35104144140153).

The spelling of 12102013120032 in words is "twelve trillion, one hundred two billion, thirteen million, one hundred twenty thousand, thirty-two".