222121201012000 has 192 divisors, whose sum is σ = 551689858687968. Its totient is φ = 87883468800000.

The previous prime is 222121201011989. The next prime is 222121201012021. The reversal of 222121201012000 is 210102121222.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 133490852496 + 221987710159504 = 365364^2 + 14899252^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417065880 + ... + 417598120.

Almost surely, 2^{222121201012000} is an apocalyptic number.

222121201012000 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 222121201012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275844929343984).

222121201012000 is an abundant number, since it is smaller than the sum of its proper divisors (329568657675968).

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

222121201012000 is a wasteful number, since it uses less digits than its factorization.

222121201012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533400 (or 533382 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222121201012000 its reverse (210102121222), we get a palindrome (222331303133222).

The spelling of 222121201012000 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred one million, twelve thousand".