61222415634000 has 480 divisors, whose sum is σ = 229156925946624. Its totient is φ = 15194090419200.

The previous prime is 61222415633989. The next prime is 61222415634077. The reversal of 61222415634000 is 43651422216.

61222415634000 is a `hidden beast` number, since 6 + 1 + 2 + 2 + 2 + 4 + 15 + 634 + 0 + 0 + 0 = 666.

61222415634000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13319619 + ... + 17316381.

Almost surely, 2^{61222415634000} is an apocalyptic number.

61222415634000 is a gapful number since it is divisible by the number (60) 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 61222415634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114578462973312).

61222415634000 is an abundant number, since it is smaller than the sum of its proper divisors (167934510312624).

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

61222415634000 is a wasteful number, since it uses less digits than its factorization.

61222415634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996852 (or 3996833 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 61222415634000 in words is "sixty-one trillion, two hundred twenty-two billion, four hundred fifteen million, six hundred thirty-four thousand".