222211010112000 has 3840 divisors, whose sum is σ = 950748640478208. Its totient is φ = 45049341542400.

The previous prime is 222211010111989. The next prime is 222211010112001. The reversal of 222211010112000 is 211010112222.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (222211010112001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1151352383904 + ... + 1151352384096.

Almost surely, 2^{222211010112000} is an apocalyptic number.

222211010112000 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 222211010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475374320239104).

222211010112000 is an abundant number, since it is smaller than the sum of its proper divisors (728537630366208).

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

222211010112000 is a wasteful number, since it uses less digits than its factorization.

222211010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 222211010112000 its reverse (211010112222), we get a palindrome (222422020224222).

The spelling of 222211010112000 in words is "two hundred twenty-two trillion, two hundred eleven billion, ten million, one hundred twelve thousand".