121436640 has 216 divisors, whose sum is σ = 449631000. Its totient is φ = 29832192.

The previous prime is 121436611. The next prime is 121436669. The reversal of 121436640 is 46634121.

121436640 is a `hidden beast` number, since 1 + 2 + 14 + 3 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (121436611) and next prime (121436669).

It is a zygodrome in base 2.

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, 243111 + ... + 243609.

It is an arithmetic number, because the mean of its divisors is an integer number (2081625).

Almost surely, 2^121436640 is an apocalyptic number.

121436640 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 121436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224815500).

121436640 is an abundant number, since it is smaller than the sum of its proper divisors (328194360).

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

121436640 is a wasteful number, since it uses less digits than its factorization.

121436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 121436640 is about 11019.8293997684. The cubic root of 121436640 is about 495.2029776686.

The spelling of 121436640 in words is "one hundred twenty-one million, four hundred thirty-six thousand, six hundred forty".