212123059200 has 1584 divisors, whose sum is σ = 882172106816. Its totient is φ = 50164531200.

The previous prime is 212123059103. The next prime is 212123059237. The reversal of 212123059200 is 2950321212.

It is a happy number.

212123059200 is a `hidden beast` number, since 21 + 21 + 2 + 30 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3477427170 + ... + 3477427230.

Almost surely, 2^212123059200 is an apocalyptic number.

212123059200 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 212123059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441086053408).

212123059200 is an abundant number, since it is smaller than the sum of its proper divisors (670049047616).

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

212123059200 is a wasteful number, since it uses less digits than its factorization.

212123059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 212123059200 in words is "two hundred twelve billion, one hundred twenty-three million, fifty-nine thousand, two hundred".