120281253330 has 384 divisors, whose sum is σ = 363274813440. Its totient is φ = 24931146240.

The previous prime is 120281253283. The next prime is 120281253343. The reversal of 120281253330 is 33352182021.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182520541 + ... + 182521199.

It is an arithmetic number, because the mean of its divisors is an integer number (946028160).

Almost surely, 2^120281253330 is an apocalyptic number.

120281253330 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 120281253330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181637406720).

120281253330 is an abundant number, since it is smaller than the sum of its proper divisors (242993560110).

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

120281253330 is a wasteful number, since it uses less digits than its factorization.

120281253330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 120281253330 in words is "one hundred twenty billion, two hundred eighty-one million, two hundred fifty-three thousand, three hundred thirty".