12061621440 has 448 divisors, whose sum is σ = 46744128000. Its totient is φ = 2903592960.

The previous prime is 12061621433. The next prime is 12061621441. The reversal of 12061621440 is 4412616021.

12061621440 is a `hidden beast` number, since 1 + 2 + 0 + 616 + 2 + 1 + 4 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12061621441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17011806 + ... + 17012514.

Almost surely, 2^12061621440 is an apocalyptic number.

12061621440 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 12061621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372064000).

12061621440 is an abundant number, since it is smaller than the sum of its proper divisors (34682506560).

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

12061621440 is a wasteful number, since it uses less digits than its factorization.

12061621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12061621440 in words is "twelve billion, sixty-one million, six hundred twenty-one thousand, four hundred forty".