212920554240 has 432 divisors, whose sum is σ = 787083897600. Its totient is φ = 52983963648.

The previous prime is 212920554181. The next prime is 212920554263. The reversal of 212920554240 is 42455029212.

212920554240 is a `hidden beast` number, since 2 + 1 + 29 + 205 + 5 + 424 + 0 = 666.

212920554240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 212920554195 and 212920554204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14657701 + ... + 14672219.

Almost surely, 2^212920554240 is an apocalyptic number.

212920554240 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 212920554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393541948800).

212920554240 is an abundant number, since it is smaller than the sum of its proper divisors (574163343360).

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

212920554240 is a wasteful number, since it uses less digits than its factorization.

212920554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14632 (or 14615 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 212920554240 in words is "two hundred twelve billion, nine hundred twenty million, five hundred fifty-four thousand, two hundred forty".