121903733279776 has 576 divisors, whose sum is σ = 313201999724544. Its totient is φ = 46390027622400.

The previous prime is 121903733279771. The next prime is 121903733279789. The reversal of 121903733279776 is 677972337309121.

It is a super-2 number, since 2×121903733279776² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121903733279771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2936923215 + ... + 2936964721.

It is an arithmetic number, because the mean of its divisors is an integer number (543753471744).

Almost surely, 2^{121903733279776} is an apocalyptic number.

121903733279776 is a gapful number since it is divisible by the number (16) 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 121903733279776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156600999862272).

121903733279776 is an abundant number, since it is smaller than the sum of its proper divisors (191298266444768).

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

121903733279776 is a wasteful number, since it uses less digits than its factorization.

121903733279776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41693 (or 41678 counting only the distinct ones).

The product of its (nonzero) digits is 126023688, while the sum is 67.

The spelling of 121903733279776 in words is "one hundred twenty-one trillion, nine hundred three billion, seven hundred thirty-three million, two hundred seventy-nine thousand, seven hundred seventy-six".