121155641406 has 64 divisors (see below), whose sum is σ = 275343206400. Its totient is φ = 39479076000.

The previous prime is 121155641371. The next prime is 121155641419. The reversal of 121155641406 is 604146551121.

121155641406 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 5 + 5 + 641 + 4 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290271 + ... + 571461.

It is an arithmetic number, because the mean of its divisors is an integer number (4302237600).

Almost surely, 2^121155641406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121155641406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137671603200).

121155641406 is an abundant number, since it is smaller than the sum of its proper divisors (154187564994).

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

121155641406 is a wasteful number, since it uses less digits than its factorization.

121155641406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281382 (or 281376 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 121155641406 in words is "one hundred twenty-one billion, one hundred fifty-five million, six hundred forty-one thousand, four hundred six".