122121120121020 has 72 divisors (see below), whose sum is σ = 370613626358976. Its totient is φ = 32549846362752.

The previous prime is 122121120120959. The next prime is 122121120121081. The reversal of 122121120121020 is 20121021121221.

122121120121020 is a `hidden beast` number, since 1 + 2 + 21 + 211 + 201 + 210 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (122121120120959) and next prime (122121120121081).

It is a super-2 number, since 2×122121120121020² (a number of 29 digits) contains 22 as substring.

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 = 122121120120984 and 122121120121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164061687 + ... + 164804366.

It is an arithmetic number, because the mean of its divisors is an integer number (5147411477208).

Almost surely, 2^{122121120121020} is an apocalyptic number.

122121120121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121120121020 is an abundant number, since it is smaller than the sum of its proper divisors (248492506237956).

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

122121120121020 is a wasteful number, since it uses less digits than its factorization.

122121120121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328868131 (or 328868126 counting only the distinct ones).

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

Adding to 122121120121020 its reverse (20121021121221), we get a palindrome (142242141242241).

The spelling of 122121120121020 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, twenty".