122120122211010 has 384 divisors, whose sum is σ = 398111955830784. Its totient is φ = 25231608622080.

The previous prime is 122120122210997. The next prime is 122120122211029. The reversal of 122120122211010 is 10112221021221.

122120122211010 is a `hidden beast` number, since 1 + 221 + 201 + 2 + 221 + 10 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 915809062 + ... + 915942398.

It is an arithmetic number, because the mean of its divisors is an integer number (1036749884976).

Almost surely, 2^{122120122211010} is an apocalyptic number.

122120122211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122120122211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199055977915392).

122120122211010 is an abundant number, since it is smaller than the sum of its proper divisors (275991833619774).

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

122120122211010 is a wasteful number, since it uses less digits than its factorization.

122120122211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134118 (or 134115 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122120122211010 its reverse (10112221021221), we get a palindrome (132232343232231).

The spelling of 122120122211010 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-two million, two hundred eleven thousand, ten".