121629600 has 180 divisors, whose sum is σ = 443795814. Its totient is φ = 32417280.

The previous prime is 121629581. The next prime is 121629617. The reversal of 121629600 is 6926121.

It can be written as a sum of positive squares in 3 ways, for example, as 96589584 + 25040016 = 9828^2 + 5004^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63862 + ... + 65738.

Almost surely, 2^121629600 is an apocalyptic number.

121629600 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 121629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221897907).

121629600 is an abundant number, since it is smaller than the sum of its proper divisors (322166214).

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

121629600 is a wasteful number, since it uses less digits than its factorization.

121629600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 121629600 is about 11028.5810510691. The cubic root of 121629600 is about 495.4651275436.

The spelling of 121629600 in words is "one hundred twenty-one million, six hundred twenty-nine thousand, six hundred".