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1152114112512 = 21133111894127
BaseRepresentation
bin10000110000111111010…
…110100011100000000000
311002010210210221222112000
4100300333112203200000
5122334012203100022
62241135055504000
7146144314242426
oct20607726434000
94063723858460
101152114112512
11404677421070
12167354828000
138484a83753c
143da968b9116
151ee80c496ac
hex10c3f5a3800

1152114112512 has 192 divisors, whose sum is σ = 3723097996800. Its totient is φ = 349125304320.

The previous prime is 1152114112507. The next prime is 1152114112529. The reversal of 1152114112512 is 2152114112511.

1152114112512 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 1 + 141 + 1 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338808 + ... + 1555319.

It is an arithmetic number, because the mean of its divisors is an integer number (19391135400).

Almost surely, 21152114112512 is an apocalyptic number.

1152114112512 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 1152114112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861548998400).

1152114112512 is an abundant number, since it is smaller than the sum of its proper divisors (2570983884288).

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

1152114112512 is a wasteful number, since it uses less digits than its factorization.

1152114112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894169 (or 1894143 counting only the distinct ones).

The product of its digits is 800, while the sum is 27.

Subtracting 1152114112512 from its reverse (2152114112511), we obtain a palindrome (999999999999).

The spelling of 1152114112512 in words is "one trillion, one hundred fifty-two billion, one hundred fourteen million, one hundred twelve thousand, five hundred twelve".