122401132433040 has 40 divisors (see below), whose sum is σ = 379443510543168. Its totient is φ = 32640301982080.

The previous prime is 122401132433003. The next prime is 122401132433051. The reversal of 122401132433040 is 40334231104221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122401132432989 and 122401132433007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255002358996 + ... + 255002359475.

Almost surely, 2^{122401132433040} is an apocalyptic number.

122401132433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122401132433040 is an abundant number, since it is smaller than the sum of its proper divisors (257042378110128).

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

122401132433040 is a wasteful number, since it uses less digits than its factorization.

122401132433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510004718487 (or 510004718481 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 122401132433040 its reverse (40334231104221), we get a palindrome (162735363537261).

The spelling of 122401132433040 in words is "one hundred twenty-two trillion, four hundred one billion, one hundred thirty-two million, four hundred thirty-three thousand, forty".