122401433432400 has 120 divisors (see below), whose sum is σ = 392164994458944. Its totient is φ = 32634354969600.

The previous prime is 122401433432393. The next prime is 122401433432407. The reversal of 122401433432400 is 4234334104221.

It is an interprime number because it is at equal distance from previous prime (122401433432393) and next prime (122401433432407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×122401433432400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122401433432407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2914516 + ... + 15915315.

Almost surely, 2^{122401433432400} is an apocalyptic number.

122401433432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122401433432400 is an abundant number, since it is smaller than the sum of its proper divisors (269763561026544).

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

122401433432400 is a wasteful number, since it uses less digits than its factorization.

122401433432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18835269 (or 18835258 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 122401433432400 its reverse (4234334104221), we get a palindrome (126635767536621).

The spelling of 122401433432400 in words is "one hundred twenty-two trillion, four hundred one billion, four hundred thirty-three million, four hundred thirty-two thousand, four hundred".