212110099200 has 270 divisors, whose sum is σ = 784269597804. Its totient is φ = 56562554880.

The previous prime is 212110099199. The next prime is 212110099261. The reversal of 212110099200 is 2990011212.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 313819 + ... + 722981.

Almost surely, 2^212110099200 is an apocalyptic number.

212110099200 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 212110099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392134798902).

212110099200 is an abundant number, since it is smaller than the sum of its proper divisors (572159498604).

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

212110099200 is an equidigital number, since it uses as much as digits as its factorization.

212110099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409201 (or 409173 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 212110099200 in words is "two hundred twelve billion, one hundred ten million, ninety-nine thousand, two hundred".