351065122272 has 240 divisors, whose sum is σ = 1048810028112. Its totient is φ = 115176867840.

The previous prime is 351065122249. The next prime is 351065122297. The reversal of 351065122272 is 272221560153.

351065122272 is a `hidden beast` number, since 3 + 51 + 0 + 6 + 512 + 22 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105391647 + ... + 105394977.

Almost surely, 2^351065122272 is an apocalyptic number.

351065122272 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 351065122272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524405014056).

351065122272 is an abundant number, since it is smaller than the sum of its proper divisors (697744905840).

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

351065122272 is a wasteful number, since it uses less digits than its factorization.

351065122272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 351065122272 in words is "three hundred fifty-one billion, sixty-five million, one hundred twenty-two thousand, two hundred seventy-two".