212150160 has 180 divisors, whose sum is σ = 746131932. Its totient is φ = 54016512.

The previous prime is 212150153. The next prime is 212150171. The reversal of 212150160 is 61051212.

It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 168272784 = 6624^2 + 12972^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380602 + ... + 381158.

Almost surely, 2^212150160 is an apocalyptic number.

212150160 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 212150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373065966).

212150160 is an abundant number, since it is smaller than the sum of its proper divisors (533981772).

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

212150160 is a wasteful number, since it uses less digits than its factorization.

212150160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 212150160 is about 14565.3753813625. The cubic root of 212150160 is about 596.4139430256.

The spelling of 212150160 in words is "two hundred twelve million, one hundred fifty thousand, one hundred sixty".