121536450 has 144 divisors (see below), whose sum is σ = 387266880. Its totient is φ = 27760320.

The previous prime is 121536449. The next prime is 121536497. The reversal of 121536450 is 54635121.

121536450 is a `hidden beast` number, since 1 + 2 + 15 + 3 + 645 + 0 = 666.

It is a super-3 number, since 3×121536450³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84336 + ... + 85764.

Almost surely, 2^121536450 is an apocalyptic number.

121536450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121536450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193633440).

121536450 is an abundant number, since it is smaller than the sum of its proper divisors (265730430).

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

121536450 is a wasteful number, since it uses less digits than its factorization.

121536450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 121536450 is about 11024.3571241139. The cubic root of 121536450 is about 495.3386112909.

The spelling of 121536450 in words is "one hundred twenty-one million, five hundred thirty-six thousand, four hundred fifty".