122002100040 has 128 divisors (see below), whose sum is σ = 407932848000. Its totient is φ = 29008539648.

The previous prime is 122002100009. The next prime is 122002100119. The reversal of 122002100040 is 40001200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122002099989 and 122002100025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535055 + ... + 1612574.

It is an arithmetic number, because the mean of its divisors is an integer number (3186975375).

Almost surely, 2^122002100040 is an apocalyptic number.

122002100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002100040 is an abundant number, since it is smaller than the sum of its proper divisors (285930747960).

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

122002100040 is a wasteful number, since it uses less digits than its factorization.

122002100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147679 (or 3147675 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122002100040 its reverse (40001200221), we get a palindrome (162003300261).

The spelling of 122002100040 in words is "one hundred twenty-two billion, two million, one hundred thousand, forty".