220120122100219 has 32 divisors (see below), whose sum is σ = 248295061808640. Its totient is φ = 193403500320000.

The previous prime is 220120122100189. The next prime is 220120122100223. The reversal of 220120122100219 is 912001221021022.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 220120122100219 - 2⁷ = 220120122100091 is a prime.

It is a super-2 number, since 2×220120122100219² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220120122100193 and 220120122100202.

It is not an unprimeable number, because it can be changed into a prime (220120122100919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25091274 + ... + 32707984.

It is an arithmetic number, because the mean of its divisors is an integer number (7759220681520).

Almost surely, 2^{220120122100219} is an apocalyptic number.

220120122100219 is a deficient number, since it is larger than the sum of its proper divisors (28174939708421).

220120122100219 is a wasteful number, since it uses less digits than its factorization.

220120122100219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617363.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 220120122100219 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-two million, one hundred thousand, two hundred nineteen".