122002101121120 has 96 divisors (see below), whose sum is σ = 314437035731616. Its totient is φ = 44363786956800.

The previous prime is 122002101121099. The next prime is 122002101121193. The reversal of 122002101121120 is 21121101200221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122002101121094 and 122002101121103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138242860 + ... + 139122580.

It is an arithmetic number, because the mean of its divisors is an integer number (3275385788871).

Almost surely, 2^{122002101121120} is an apocalyptic number.

122002101121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002101121120 is an abundant number, since it is smaller than the sum of its proper divisors (192434934610496).

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

122002101121120 is a wasteful number, since it uses less digits than its factorization.

122002101121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958544 (or 958536 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122002101121120 its reverse (21121101200221), we get a palindrome (143123202321341).

The spelling of 122002101121120 in words is "one hundred twenty-two trillion, two billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty".