1253302233120 has 576 divisors, whose sum is σ = 5208959508480. Its totient is φ = 268181489664.

The previous prime is 1253302233119. The next prime is 1253302233149. The reversal of 1253302233120 is 213322033521.

It is a happy number.

1253302233120 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 302 + 2 + 331 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10838971 + ... + 10953989.

It is an arithmetic number, because the mean of its divisors is an integer number (9043332480).

Almost surely, 2^{1253302233120} is an apocalyptic number.

1253302233120 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 1253302233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604479754240).

1253302233120 is an abundant number, since it is smaller than the sum of its proper divisors (3955657275360).

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

1253302233120 is a wasteful number, since it uses less digits than its factorization.

1253302233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115117 (or 115106 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1253302233120 its reverse (213322033521), we get a palindrome (1466624266641).

The spelling of 1253302233120 in words is "one trillion, two hundred fifty-three billion, three hundred two million, two hundred thirty-three thousand, one hundred twenty".