212460060120 has 256 divisors, whose sum is σ = 800726446080. Its totient is φ = 43810291200.

The previous prime is 212460060077. The next prime is 212460060157. The reversal of 212460060120 is 21060064212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122679 + ... + 1298201.

It is an arithmetic number, because the mean of its divisors is an integer number (3127837680).

Almost surely, 2^212460060120 is an apocalyptic number.

212460060120 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 212460060120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400363223040).

212460060120 is an abundant number, since it is smaller than the sum of its proper divisors (588266385960).

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

212460060120 is a wasteful number, since it uses less digits than its factorization.

212460060120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175686 (or 175682 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 212460060120 in words is "two hundred twelve billion, four hundred sixty million, sixty thousand, one hundred twenty".