121669632 has 288 divisors, whose sum is σ = 429287040. Its totient is φ = 32440320.

The previous prime is 121669621. The next prime is 121669633. The reversal of 121669632 is 236966121.

It is a happy number.

121669632 is a `hidden beast` number, since 1 + 2 + 16 + 6 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121669633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2967532 + ... + 2967572.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^121669632 is an apocalyptic number.

121669632 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 121669632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

121669632 is an abundant number, since it is smaller than the sum of its proper divisors (307617408).

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

121669632 is a wasteful number, since it uses less digits than its factorization.

121669632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 121669632 is about 11030.3958224535. The cubic root of 121669632 is about 495.5194791278.

The spelling of 121669632 in words is "one hundred twenty-one million, six hundred sixty-nine thousand, six hundred thirty-two".