631212212136 has 128 divisors (see below), whose sum is σ = 1753849728000. Its totient is φ = 187707041280.

The previous prime is 631212212101. The next prime is 631212212143.

631212212136 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3752835 + ... + 3917421.

It is an arithmetic number, because the mean of its divisors is an integer number (13701951000).

Almost surely, 2^631212212136 is an apocalyptic number.

631212212136 is a gapful number since it is divisible by the number (66) 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 631212212136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876924864000).

631212212136 is an abundant number, since it is smaller than the sum of its proper divisors (1122637515864).

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

631212212136 is a wasteful number, since it uses less digits than its factorization.

631212212136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164879 (or 164875 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 631212 and 212136, that added together give a palindrome (843348).

The spelling of 631212212136 in words is "six hundred thirty-one billion, two hundred twelve million, two hundred twelve thousand, one hundred thirty-six".