212451120 has 160 divisors (see below), whose sum is σ = 836375040. Its totient is φ = 48556800.

The previous prime is 212451079. The next prime is 212451131. The reversal of 212451120 is 21154212.

212451120 is a `hidden beast` number, since 212 + 451 + 1 + 2 + 0 = 666.

212451120 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 212451093 and 212451102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8095 + ... + 22145.

It is an arithmetic number, because the mean of its divisors is an integer number (5227344).

Almost surely, 2^212451120 is an apocalyptic number.

212451120 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 212451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418187520).

212451120 is an abundant number, since it is smaller than the sum of its proper divisors (623923920).

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

212451120 is a wasteful number, since it uses less digits than its factorization.

212451120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14080 (or 14068 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212451120 is about 14575.7030705212. The cubic root of 212451120 is about 596.6958375856.

The spelling of 212451120 in words is "two hundred twelve million, four hundred fifty-one thousand, one hundred twenty".