220010000121120 has 192 divisors, whose sum is σ = 757431849605760. Its totient is φ = 53237169561600.

The previous prime is 220010000121101. The next prime is 220010000121139. The reversal of 220010000121120 is 21121000010022.

It is an interprime number because it is at equal distance from previous prime (220010000121101) and next prime (220010000121139).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220010000121096 and 220010000121105.

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, 35654205 + ... + 41367164.

It is an arithmetic number, because the mean of its divisors is an integer number (3944957550030).

Almost surely, 2^{220010000121120} is an apocalyptic number.

220010000121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220010000121120 is an abundant number, since it is smaller than the sum of its proper divisors (537421849484640).

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

220010000121120 is a wasteful number, since it uses less digits than its factorization.

220010000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77021939 (or 77021931 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220010000121120 its reverse (21121000010022), we get a palindrome (241131000131142).

The spelling of 220010000121120 in words is "two hundred twenty trillion, ten billion, one hundred twenty-one thousand, one hundred twenty".