121627740 has 192 divisors, whose sum is σ = 400780800. Its totient is φ = 27288576.

The previous prime is 121627729. The next prime is 121627799. The reversal of 121627740 is 47726121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 121627698 and 121627707.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 429639 + ... + 429921.

It is an arithmetic number, because the mean of its divisors is an integer number (2087400).

Almost surely, 2^121627740 is an apocalyptic number.

121627740 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 121627740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200390400).

121627740 is an abundant number, since it is smaller than the sum of its proper divisors (279153060).

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

121627740 is a wasteful number, since it uses less digits than its factorization.

121627740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 121627740 is about 11028.4967243954. The cubic root of 121627740 is about 495.4626019252.

The spelling of 121627740 in words is "one hundred twenty-one million, six hundred twenty-seven thousand, seven hundred forty".