121947552 has 192 divisors, whose sum is σ = 382233600. Its totient is φ = 37739520.

The previous prime is 121947547. The next prime is 121947557. The reversal of 121947552 is 255749121.

121947552 is a `hidden beast` number, since 12 + 1 + 94 + 7 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (121947547) and next prime (121947557).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121947557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776658 + ... + 776814.

It is an arithmetic number, because the mean of its divisors is an integer number (1990800).

Almost surely, 2^121947552 is an apocalyptic number.

121947552 is a gapful number since it is divisible by the number (12) 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 121947552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191116800).

121947552 is an abundant number, since it is smaller than the sum of its proper divisors (260286048).

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

121947552 is a wasteful number, since it uses less digits than its factorization.

121947552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 121947552 is about 11042.9865525590. The cubic root of 121947552 is about 495.8964837738.

The spelling of 121947552 in words is "one hundred twenty-one million, nine hundred forty-seven thousand, five hundred fifty-two".