121398649344 has 480 divisors, whose sum is σ = 420175071360. Its totient is φ = 34506694656.

The previous prime is 121398649297. The next prime is 121398649387. The reversal of 121398649344 is 443946893121.

121398649344 is a `hidden beast` number, since 1 + 2 + 1 + 39 + 86 + 493 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187632829 + ... + 187633475.

It is an arithmetic number, because the mean of its divisors is an integer number (875364732).

Almost surely, 2^121398649344 is an apocalyptic number.

121398649344 is a gapful number since it is divisible by the number (14) 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 121398649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210087535680).

121398649344 is an abundant number, since it is smaller than the sum of its proper divisors (298776422016).

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

121398649344 is an equidigital number, since it uses as much as digits as its factorization.

121398649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 936 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 121398649344 in words is "one hundred twenty-one billion, three hundred ninety-eight million, six hundred forty-nine thousand, three hundred forty-four".