222100220202120 has 256 divisors, whose sum is σ = 798161920416000. Its totient is φ = 54610543761408.

The previous prime is 222100220202061. The next prime is 222100220202131. The reversal of 222100220202120 is 21202022001222.

222100220202120 is a `hidden beast` number, since 2 + 2 + 210 + 0 + 220 + 20 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222100220202093 and 222100220202102.

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, 4013716 + ... + 21454844.

It is an arithmetic number, because the mean of its divisors is an integer number (3117820001625).

Almost surely, 2^{222100220202120} is an apocalyptic number.

222100220202120 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 222100220202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399080960208000).

222100220202120 is an abundant number, since it is smaller than the sum of its proper divisors (576061700213880).

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

222100220202120 is a wasteful number, since it uses less digits than its factorization.

222100220202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17442069 (or 17442059 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222100220202120 its reverse (21202022001222), we get a palindrome (243302242203342).

The spelling of 222100220202120 in words is "two hundred twenty-two trillion, one hundred billion, two hundred twenty million, two hundred two thousand, one hundred twenty".