121323644640 has 768 divisors, whose sum is σ = 476606592000. Its totient is φ = 28575866880.

The previous prime is 121323644621. The next prime is 121323644653. The reversal of 121323644640 is 46446323121.

121323644640 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 2 + 3 + 6 + 4 + 4 + 640 = 666.

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 = 121323644595 and 121323644604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305600922 + ... + 305601318.

It is an arithmetic number, because the mean of its divisors is an integer number (620581500).

Almost surely, 2^121323644640 is an apocalyptic number.

121323644640 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 121323644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238303296000).

121323644640 is an abundant number, since it is smaller than the sum of its proper divisors (355282947360).

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

121323644640 is a wasteful number, since it uses less digits than its factorization.

121323644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 121323644640 its reverse (46446323121), we get a palindrome (167769967761).

The spelling of 121323644640 in words is "one hundred twenty-one billion, three hundred twenty-three million, six hundred forty-four thousand, six hundred forty".