121306429440 has 960 divisors, whose sum is σ = 526572446400. Its totient is φ = 26074939392.

The previous prime is 121306429427. The next prime is 121306429493. The reversal of 121306429440 is 44924603121.

121306429440 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 642 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121306429395 and 121306429404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98702746 + ... + 98703974.

It is an arithmetic number, because the mean of its divisors is an integer number (548512965).

Almost surely, 2^121306429440 is an apocalyptic number.

121306429440 is a gapful number since it is divisible by the number (10) 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 121306429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263286223200).

121306429440 is an abundant number, since it is smaller than the sum of its proper divisors (405266016960).

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

121306429440 is a wasteful number, since it uses less digits than its factorization.

121306429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 121306429440 in words is "one hundred twenty-one billion, three hundred six million, four hundred twenty-nine thousand, four hundred forty".