351212040100 has 108 divisors (see below), whose sum is σ = 818244098644. Its totient is φ = 130744247040.

The previous prime is 351212040097. The next prime is 351212040103. The reversal of 351212040100 is 1040212153.

It is an interprime number because it is at equal distance from previous prime (351212040097) and next prime (351212040103).

It can be written as a sum of positive squares in 6 ways, for example, as 9438511104 + 341773528996 = 97152^2 + 584614^2 .

It is a super-2 number, since 2×351212040100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (351212040103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1867582 + ... + 2047018.

Almost surely, 2^351212040100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351212040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409122049322).

351212040100 is an abundant number, since it is smaller than the sum of its proper divisors (467032058544).

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

351212040100 is a wasteful number, since it uses less digits than its factorization.

351212040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179534 (or 179504 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 351212040100 its reverse (1040212153), we get a palindrome (352252252253).

The spelling of 351212040100 in words is "three hundred fifty-one billion, two hundred twelve million, forty thousand, one hundred".