121337624352 has 144 divisors (see below), whose sum is σ = 370796317920. Its totient is φ = 34641395712.

The previous prime is 121337624347. The next prime is 121337624381. The reversal of 121337624352 is 253426733121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 121337624352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6618783 + ... + 6637089.

It is an arithmetic number, because the mean of its divisors is an integer number (2574974430).

Almost surely, 2^121337624352 is an apocalyptic number.

121337624352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121337624352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185398158960).

121337624352 is an abundant number, since it is smaller than the sum of its proper divisors (249458693568).

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

121337624352 is a wasteful number, since it uses less digits than its factorization.

121337624352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19743 (or 19728 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The spelling of 121337624352 in words is "one hundred twenty-one billion, three hundred thirty-seven million, six hundred twenty-four thousand, three hundred fifty-two".