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12101011300032 = 263629891000589
BaseRepresentation
bin1011000000010111110001…
…1110101101111011000000
31120211211211021122210212220
42300011330132231323000
53041230332343100112
641423043340451040
72356161224624424
oct260057436557300
946754737583786
1012101011300032
113946012451656
121435310249a80
1369a1748949c5
142db99908cb84
1515eb95d1e98c
hexb017c7adec0

12101011300032 has 56 divisors (see below), whose sum is σ = 32017799362800. Its totient is φ = 4033602364416.

The previous prime is 12101011300031. The next prime is 12101011300087. The reversal of 12101011300032 is 23000311010121.

It is a happy number.

12101011300032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12101011299984 and 12101011300020.

It is not an unprimeable number, because it can be changed into a prime (12101011300031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11593594 + ... + 12594182.

Almost surely, 212101011300032 is an apocalyptic number.

12101011300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101011300032 is an abundant number, since it is smaller than the sum of its proper divisors (19916788062768).

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

12101011300032 is a wasteful number, since it uses less digits than its factorization.

12101011300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063593 (or 1063583 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12101011300032 its reverse (23000311010121), we get a palindrome (35101322310153).

The spelling of 12101011300032 in words is "twelve trillion, one hundred one billion, eleven million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 62989 125978 188967 251956 377934 503912 755868 1000589 1007824 1511736 2001178 2015648 3001767 3023472 4002356 4031296 6003534 6046944 8004712 12007068 12093888 16009424 24014136 32018848 48028272 64037696 96056544 192113088 63026100521 126052201042 189078301563 252104402084 378156603126 504208804168 756313206252 1008417608336 1512626412504 2016835216672 3025252825008 4033670433344 6050505650016 12101011300032