122120022120 has 128 divisors (see below), whose sum is σ = 370698249600. Its totient is φ = 32180166656.

The previous prime is 122120022109. The next prime is 122120022131. The reversal of 122120022120 is 21220021221.

It is an interprime number because it is at equal distance from previous prime (122120022109) and next prime (122120022131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122120022120.

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, 30937987 + ... + 30941933.

It is an arithmetic number, because the mean of its divisors is an integer number (2896080075).

Almost surely, 2^122120022120 is an apocalyptic number.

122120022120 is a gapful number since it is divisible by the number (10) 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 122120022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185349124800).

122120022120 is an abundant number, since it is smaller than the sum of its proper divisors (248578227480).

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

122120022120 is a wasteful number, since it uses less digits than its factorization.

122120022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6947 (or 6943 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122120022120 its reverse (21220021221), we get a palindrome (143340043341).

The spelling of 122120022120 in words is "one hundred twenty-two billion, one hundred twenty million, twenty-two thousand, one hundred twenty".