120661405410 has 256 divisors, whose sum is σ = 379935360000. Its totient is φ = 23798513664.

The previous prime is 120661405399. The next prime is 120661405411. The reversal of 120661405410 is 14504166021.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120661405411) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6906366 + ... + 6923814.

It is an arithmetic number, because the mean of its divisors is an integer number (1484122500).

Almost surely, 2^120661405410 is an apocalyptic number.

120661405410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120661405410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189967680000).

120661405410 is an abundant number, since it is smaller than the sum of its proper divisors (259273954590).

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

120661405410 is a wasteful number, since it uses less digits than its factorization.

120661405410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17645.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 120661405410 in words is "one hundred twenty billion, six hundred sixty-one million, four hundred five thousand, four hundred ten".