121985496 has 144 divisors (see below), whose sum is σ = 357837480. Its totient is φ = 37497600.

The previous prime is 121985471. The next prime is 121985533. The reversal of 121985496 is 694589121.

121985496 is a `hidden beast` number, since 12 + 1 + 98 + 549 + 6 = 666.

It is a super-3 number, since 3×121985496³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (155520) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2836851 + ... + 2836893.

Almost surely, 2^121985496 is an apocalyptic number.

121985496 is the 5904-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121985496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178918740).

121985496 is an abundant number, since it is smaller than the sum of its proper divisors (235851984).

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

121985496 is a wasteful number, since it uses less digits than its factorization.

121985496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 120 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 121985496 is about 11044.7044324418. The cubic root of 121985496 is about 495.9479111966.

The spelling of 121985496 in words is "one hundred twenty-one million, nine hundred eighty-five thousand, four hundred ninety-six".