212542989120 has 1120 divisors, whose sum is σ = 952232751360. Its totient is φ = 43714805760.

The previous prime is 212542989119. The next prime is 212542989137. The reversal of 212542989120 is 21989245212.

212542989120 is a `hidden beast` number, since 2 + 1 + 2 + 542 + 9 + 89 + 1 + 20 = 666.

212542989120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 217546072 + ... + 217547048.

Almost surely, 2^212542989120 is an apocalyptic number.

212542989120 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 212542989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476116375680).

212542989120 is an abundant number, since it is smaller than the sum of its proper divisors (739689762240).

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

212542989120 is a wasteful number, since it uses less digits than its factorization.

212542989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 212542989120 in words is "two hundred twelve billion, five hundred forty-two million, nine hundred eighty-nine thousand, one hundred twenty".