121733640 has 288 divisors, whose sum is σ = 471631680. Its totient is φ = 27143424.

The previous prime is 121733639. The next prime is 121733653. The reversal of 121733640 is 46337121.

121733640 is a `hidden beast` number, since 1 + 2 + 17 + 3 + 3 + 640 = 666.

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, 1181829 + ... + 1181931.

It is an arithmetic number, because the mean of its divisors is an integer number (1637610).

Almost surely, 2^121733640 is an apocalyptic number.

121733640 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 121733640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235815840).

121733640 is an abundant number, since it is smaller than the sum of its proper divisors (349898040).

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

121733640 is a wasteful number, since it uses less digits than its factorization.

121733640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 121733640 is about 11033.2968780868. The cubic root of 121733640 is about 495.6063582446.

The spelling of 121733640 in words is "one hundred twenty-one million, seven hundred thirty-three thousand, six hundred forty".