121901685407424 has 448 divisors, whose sum is σ = 391160707217280. Its totient is φ = 37463964770304.

The previous prime is 121901685407377. The next prime is 121901685407431. The reversal of 121901685407424 is 424704586109121.

121901685407424 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 0 + 1 + 6 + 8 + 540 + 74 + 24 = 666.

It is a super-3 number, since 3×121901685407424³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1559344402 + ... + 1559422574.

It is an arithmetic number, because the mean of its divisors is an integer number (873126578610).

Almost surely, 2^{121901685407424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121901685407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195580353608640).

121901685407424 is an abundant number, since it is smaller than the sum of its proper divisors (269259021809856).

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

121901685407424 is an frugal number, since it uses more digits than its factorization.

121901685407424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79076 (or 79048 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 121901685407424 in words is "one hundred twenty-one trillion, nine hundred one billion, six hundred eighty-five million, four hundred seven thousand, four hundred twenty-four".