212167756900 has 108 divisors (see below), whose sum is σ = 516204054576. Its totient is φ = 75066192000.

The previous prime is 212167756837. The next prime is 212167756901. The reversal of 212167756900 is 9657761212.

It is a super-2 number, since 2×212167756900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212167756901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1435455 + ... + 1576345.

It is an arithmetic number, because the mean of its divisors is an integer number (4779667172).

Almost surely, 2^212167756900 is an apocalyptic number.

212167756900 is a gapful number since it is divisible by the number (20) 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 212167756900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258102027288).

212167756900 is an abundant number, since it is smaller than the sum of its proper divisors (304036297676).

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

212167756900 is a wasteful number, since it uses less digits than its factorization.

212167756900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140990 (or 140946 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 212167756900 in words is "two hundred twelve billion, one hundred sixty-seven million, seven hundred fifty-six thousand, nine hundred".