121881349440 has 168 divisors, whose sum is σ = 429446378088. Its totient is φ = 31708938240.

The previous prime is 121881349433. The next prime is 121881349463. The reversal of 121881349440 is 44943188121.

121881349440 is a `hidden beast` number, since 12 + 188 + 13 + 4 + 9 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11136158784 + 110745190656 = 105528^2 + 332784^2 .

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 23 ways as a sum of consecutive naturals, for example, 398017 + ... + 634176.

It is an arithmetic number, because the mean of its divisors is an integer number (2556228441).

Almost surely, 2^121881349440 is an apocalyptic number.

121881349440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121881349440 is an abundant number, since it is smaller than the sum of its proper divisors (307565028648).

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

121881349440 is a wasteful number, since it uses less digits than its factorization.

121881349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032257 (or 1032244 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 121881349440 in words is "one hundred twenty-one billion, eight hundred eighty-one million, three hundred forty-nine thousand, four hundred forty".