202220222010120 has 384 divisors, whose sum is σ = 697127558400000. Its totient is φ = 50694602955264.

The previous prime is 202220222010097. The next prime is 202220222010127. The reversal of 202220222010120 is 21010222022202.

202220222010120 is a `hidden beast` number, since 202 + 220 + 2 + 220 + 1 + 0 + 1 + 20 = 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 = 202220222010093 and 202220222010102.

It is not an unprimeable number, because it can be changed into a prime (202220222010127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1961366331 + ... + 1961469429.

It is an arithmetic number, because the mean of its divisors is an integer number (1815436350000).

Almost surely, 2^{202220222010120} is an apocalyptic number.

202220222010120 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 202220222010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348563779200000).

202220222010120 is an abundant number, since it is smaller than the sum of its proper divisors (494907336389880).

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

202220222010120 is a wasteful number, since it uses less digits than its factorization.

202220222010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105337 (or 105330 counting only the distinct ones).

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

Adding to 202220222010120 its reverse (21010222022202), we get a palindrome (223230444032322).

The spelling of 202220222010120 in words is "two hundred two trillion, two hundred twenty billion, two hundred twenty-two million, ten thousand, one hundred twenty".