212202285120 has 1008 divisors, whose sum is σ = 905572839600. Its totient is φ = 45317357568.

The previous prime is 212202285101. The next prime is 212202285143. The reversal of 212202285120 is 21582202212.

212202285120 is a `hidden beast` number, since 2 + 122 + 0 + 2 + 28 + 512 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40846026816 + 171356258304 = 202104^2 + 413952^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 472610656 + ... + 472611104.

Almost surely, 2^212202285120 is an apocalyptic number.

212202285120 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 212202285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452786419800).

212202285120 is an abundant number, since it is smaller than the sum of its proper divisors (693370554480).

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

212202285120 is a wasteful number, since it uses less digits than its factorization.

212202285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 212202285120 its reverse (21582202212), we get a palindrome (233784487332).

The spelling of 212202285120 in words is "two hundred twelve billion, two hundred two million, two hundred eighty-five thousand, one hundred twenty".