121603261215744 has 3520 divisors, whose sum is σ = 493360926879744. Its totient is φ = 28904325120000.

The previous prime is 121603261215731. The next prime is 121603261215817. The reversal of 121603261215744 is 447512162306121.

It is a happy number.

121603261215744 is a `hidden beast` number, since 1 + 2 + 1 + 60 + 3 + 2 + 6 + 12 + 1 + 574 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121603261215744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 367381453659 + ... + 367381453989.

Almost surely, 2^{121603261215744} is an apocalyptic number.

121603261215744 is a gapful number since it is divisible by the number (14) 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 121603261215744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246680463439872).

121603261215744 is an abundant number, since it is smaller than the sum of its proper divisors (371757665664000).

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

121603261215744 is a wasteful number, since it uses less digits than its factorization.

121603261215744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 121603261215744 in words is "one hundred twenty-one trillion, six hundred three billion, two hundred sixty-one million, two hundred fifteen thousand, seven hundred forty-four".