121840807613400 has 480 divisors, whose sum is σ = 458483725632240. Its totient is φ = 29868496035840.

The previous prime is 121840807613389. The next prime is 121840807613429. The reversal of 121840807613400 is 4316708048121.

121840807613400 is a `hidden beast` number, since 1 + 2 + 184 + 0 + 8 + 0 + 7 + 61 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6697852 + ... + 16986548.

Almost surely, 2^{121840807613400} is an apocalyptic number.

121840807613400 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 121840807613400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229241862816120).

121840807613400 is an abundant number, since it is smaller than the sum of its proper divisors (336642918018840).

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

121840807613400 is a wasteful number, since it uses less digits than its factorization.

121840807613400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10288785 (or 10288767 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 121840807613400 in words is "one hundred twenty-one trillion, eight hundred forty billion, eight hundred seven million, six hundred thirteen thousand, four hundred".