212442868437120 has 512 divisors, whose sum is σ = 765274176000000. Its totient is φ = 55682520477696.

The previous prime is 212442868437103. The next prime is 212442868437133. The reversal of 212442868437120 is 21734868244212.

212442868437120 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 4 + 2 + 86 + 8 + 437 + 120 = 666.

It is a super-2 number, since 2×212442868437120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8889182931 + ... + 8889206829.

It is an arithmetic number, because the mean of its divisors is an integer number (1494676125000).

Almost surely, 2^{212442868437120} is an apocalyptic number.

212442868437120 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 212442868437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382637088000000).

212442868437120 is an abundant number, since it is smaller than the sum of its proper divisors (552831307562880).

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

212442868437120 is a wasteful number, since it uses less digits than its factorization.

212442868437120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32705 (or 32687 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 212442868437120 in words is "two hundred twelve trillion, four hundred forty-two billion, eight hundred sixty-eight million, four hundred thirty-seven thousand, one hundred twenty".