121961436480 has 448 divisors, whose sum is σ = 475888385280. Its totient is φ = 29208895488.

The previous prime is 121961436461. The next prime is 121961436523. The reversal of 121961436480 is 84634169121.

121961436480 is a `hidden beast` number, since 1 + 21 + 9 + 6 + 143 + 6 + 480 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4141167 + ... + 4170513.

It is an arithmetic number, because the mean of its divisors is an integer number (1062250860).

Almost surely, 2^121961436480 is an apocalyptic number.

121961436480 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 121961436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237944192640).

121961436480 is an abundant number, since it is smaller than the sum of its proper divisors (353926948800).

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

121961436480 is a wasteful number, since it uses less digits than its factorization.

121961436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29423 (or 29407 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 121961436480 in words is "one hundred twenty-one billion, nine hundred sixty-one million, four hundred thirty-six thousand, four hundred eighty".