11621427120 has 240 divisors, whose sum is σ = 43122186432. Its totient is φ = 2789867520.

The previous prime is 11621427089. The next prime is 11621427127. The reversal of 11621427120 is 2172412611.

11621427120 is a `hidden beast` number, since 1 + 1 + 621 + 4 + 27 + 12 + 0 = 666.

11621427120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (11621427127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 260880 + ... + 302160.

Almost surely, 2^11621427120 is an apocalyptic number.

11621427120 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 11621427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561093216).

11621427120 is an abundant number, since it is smaller than the sum of its proper divisors (31500759312).

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

11621427120 is a wasteful number, since it uses less digits than its factorization.

11621427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41340 (or 41331 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 11621427120 its reverse (2172412611), we get a palindrome (13793839731).

The spelling of 11621427120 in words is "eleven billion, six hundred twenty-one million, four hundred twenty-seven thousand, one hundred twenty".