212157429120 has 1792 divisors, whose sum is σ = 988925414400. Its totient is φ = 42245701632.

The previous prime is 212157429109. The next prime is 212157429157. The reversal of 212157429120 is 21924751212.

It is a happy number.

212157429120 is a `hidden beast` number, since 2 + 1 + 215 + 7 + 429 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 806682109 + ... + 806682371.

It is an arithmetic number, because the mean of its divisors is an integer number (551855700).

Almost surely, 2^212157429120 is an apocalyptic number.

212157429120 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 212157429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494462707200).

212157429120 is an abundant number, since it is smaller than the sum of its proper divisors (776767985280).

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

212157429120 is a wasteful number, since it uses less digits than its factorization.

212157429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 212157429120 in words is "two hundred twelve billion, one hundred fifty-seven million, four hundred twenty-nine thousand, one hundred twenty".