120002210212122 has 192 divisors, whose sum is σ = 321591211468800. Its totient is φ = 31569503863680.

The previous prime is 120002210212043. The next prime is 120002210212163. The reversal of 120002210212122 is 221212012200021.

It is a happy number.

120002210212122 is a `hidden beast` number, since 120 + 0 + 0 + 2 + 210 + 212 + 122 = 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 = 120002210212095 and 120002210212104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80666097 + ... + 82140267.

It is an arithmetic number, because the mean of its divisors is an integer number (1674954226400).

Almost surely, 2^{120002210212122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120002210212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160795605734400).

120002210212122 is an abundant number, since it is smaller than the sum of its proper divisors (201589001256678).

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

120002210212122 is a wasteful number, since it uses less digits than its factorization.

120002210212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475161 (or 1475158 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120002210212122 its reverse (221212012200021), we get a palindrome (341214222412143).

The spelling of 120002210212122 in words is "one hundred twenty trillion, two billion, two hundred ten million, two hundred twelve thousand, one hundred twenty-two".