35212125312 has 384 divisors, whose sum is σ = 125177794560. Its totient is φ = 9251905536.

The previous prime is 35212125301. The next prime is 35212125323. The reversal of 35212125312 is 21352121253.

35212125312 is a `hidden beast` number, since 3 + 5 + 2 + 121 + 2 + 531 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (35212125301) and next prime (35212125323).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40150218 + ... + 40151094.

It is an arithmetic number, because the mean of its divisors is an integer number (325983840).

Almost surely, 2^35212125312 is an apocalyptic number.

35212125312 is a gapful number since it is divisible by the number (32) 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 35212125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62588897280).

35212125312 is an abundant number, since it is smaller than the sum of its proper divisors (89965669248).

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

35212125312 is a wasteful number, since it uses less digits than its factorization.

35212125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1285 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

Adding to 35212125312 its reverse (21352121253), we get a palindrome (56564246565).

The spelling of 35212125312 in words is "thirty-five billion, two hundred twelve million, one hundred twenty-five thousand, three hundred twelve".