61245450120 has 128 divisors (see below), whose sum is σ = 185784762240. Its totient is φ = 16150917120.

The previous prime is 61245450113. The next prime is 61245450209. The reversal of 61245450120 is 2105454216.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4599312 + ... + 4612608.

It is an arithmetic number, because the mean of its divisors is an integer number (1451443455).

Almost surely, 2^61245450120 is an apocalyptic number.

61245450120 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 61245450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92892381120).

61245450120 is an abundant number, since it is smaller than the sum of its proper divisors (124539312120).

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

61245450120 is a wasteful number, since it uses less digits than its factorization.

61245450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13735 (or 13731 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 61245450120 in words is "sixty-one billion, two hundred forty-five million, four hundred fifty thousand, one hundred twenty".