222720516000 has 960 divisors, whose sum is σ = 849365637120. Its totient is φ = 57127680000.

The previous prime is 222720515947. The next prime is 222720516119. The reversal of 222720516000 is 615027222.

222720516000 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 2 + 0 + 51 + 600 + 0 = 666.

222720516000 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 (27).

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, 1166075905 + ... + 1166076095.

It is an arithmetic number, because the mean of its divisors is an integer number (884755872).

Almost surely, 2^222720516000 is an apocalyptic number.

222720516000 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 222720516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424682818560).

222720516000 is an abundant number, since it is smaller than the sum of its proper divisors (626645121120).

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

222720516000 is a wasteful number, since it uses less digits than its factorization.

222720516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

It can be divided in two parts, 222720 and 516000, that added together give a triangular number (738720 = T₁₂₁₅).

The spelling of 222720516000 in words is "two hundred twenty-two billion, seven hundred twenty million, five hundred sixteen thousand".