351512106000 has 320 divisors, whose sum is σ = 1266463441152. Its totient is φ = 83136000000.

The previous prime is 351512105939. The next prime is 351512106031. The reversal of 351512106000 is 601215153.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2641050 + ... + 2770950.

Almost surely, 2^351512106000 is an apocalyptic number.

351512106000 is a gapful number since it is divisible by the number (30) 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 351512106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633231720576).

351512106000 is an abundant number, since it is smaller than the sum of its proper divisors (914951335152).

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

351512106000 is a wasteful number, since it uses less digits than its factorization.

351512106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129979 (or 129963 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 351512106000 in words is "three hundred fifty-one billion, five hundred twelve million, one hundred six thousand".