121434400032 has 96 divisors (see below), whose sum is σ = 349826770944. Its totient is φ = 36577900800.

The previous prime is 121434400019. The next prime is 121434400039. The reversal of 121434400032 is 230004434121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×121434400032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 121434399975 and 121434400011.

It is not an unprimeable number, because it can be changed into a prime (121434400039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167944 + ... + 520647.

It is an arithmetic number, because the mean of its divisors is an integer number (3644028864).

Almost surely, 2^121434400032 is an apocalyptic number.

121434400032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121434400032 is an abundant number, since it is smaller than the sum of its proper divisors (228392370912).

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

121434400032 is a wasteful number, since it uses less digits than its factorization.

121434400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688782 (or 688774 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 121434400032 its reverse (230004434121), we get a palindrome (351438834153).

The spelling of 121434400032 in words is "one hundred twenty-one billion, four hundred thirty-four million, four hundred thousand, thirty-two".