222450018120 has 640 divisors, whose sum is σ = 850475894400. Its totient is φ = 51654758400.

The previous prime is 222450018107. The next prime is 222450018121. The reversal of 222450018120 is 21810054222.

222450018120 is a `hidden beast` number, since 2 + 2 + 24 + 500 + 18 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (222450018121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 141596935 + ... + 141598505.

It is an arithmetic number, because the mean of its divisors is an integer number (1328868585).

Almost surely, 2^222450018120 is an apocalyptic number.

222450018120 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 222450018120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425237947200).

222450018120 is an abundant number, since it is smaller than the sum of its proper divisors (628025876280).

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

222450018120 is a wasteful number, since it uses less digits than its factorization.

222450018120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 222450018120 in words is "two hundred twenty-two billion, four hundred fifty million, eighteen thousand, one hundred twenty".