212129964 has 36 divisors (see below), whose sum is σ = 537038320. Its totient is φ = 70601760.

The previous prime is 212129923. The next prime is 212129969. The reversal of 212129964 is 469921212.

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is not an unprimeable number, because it can be changed into a prime (212129969) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21369 + ... + 29679.

Almost surely, 2^212129964 is an apocalyptic number.

It is an amenable number.

212129964 is an abundant number, since it is smaller than the sum of its proper divisors (324908356).

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

212129964 is a wasteful number, since it uses less digits than its factorization.

212129964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9030 (or 9025 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 212129964 is about 14564.6820768598. The cubic root of 212129964 is about 596.3950168741.

The spelling of 212129964 in words is "two hundred twelve million, one hundred twenty-nine thousand, nine hundred sixty-four".