10347142512 has 240 divisors, whose sum is σ = 32831509760. Its totient is φ = 2743123968.

The previous prime is 10347142483. The next prime is 10347142513. The reversal of 10347142512 is 21524174301.

It is a self number, because there is not a number n which added to its sum of digits gives 10347142512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10347142513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17932368 + ... + 17932944.

Almost surely, 2^10347142512 is an apocalyptic number.

10347142512 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 10347142512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16415754880).

10347142512 is an abundant number, since it is smaller than the sum of its proper divisors (22484367248).

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

10347142512 is a wasteful number, since it uses less digits than its factorization.

10347142512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 10347142512 in words is "ten billion, three hundred forty-seven million, one hundred forty-two thousand, five hundred twelve".