10214932096512 has 480 divisors, whose sum is σ = 35440567658496. Its totient is φ = 2790866534400.

The previous prime is 10214932096433. The next prime is 10214932096543. The reversal of 10214932096512 is 21569023941201.

It is a happy number.

10214932096512 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 49 + 3 + 2 + 0 + 96 + 512 = 666.

It is a super-2 number, since 2×10214932096512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 28154337 + ... + 28514847.

Almost surely, 2^{10214932096512} is an apocalyptic number.

10214932096512 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 10214932096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720283829248).

10214932096512 is an abundant number, since it is smaller than the sum of its proper divisors (25225635561984).

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

10214932096512 is a wasteful number, since it uses less digits than its factorization.

10214932096512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360602 (or 360583 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10214932096512 in words is "ten trillion, two hundred fourteen billion, nine hundred thirty-two million, ninety-six thousand, five hundred twelve".