1253135220000 has 480 divisors, whose sum is σ = 4362235637760. Its totient is φ = 314202240000.

The previous prime is 1253135219957. The next prime is 1253135220011. The reversal of 1253135220000 is 225313521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81412305 + ... + 81427695.

It is an arithmetic number, because the mean of its divisors is an integer number (9087990912).

Almost surely, 2^{1253135220000} is an apocalyptic number.

1253135220000 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 1253135220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181117818880).

1253135220000 is an abundant number, since it is smaller than the sum of its proper divisors (3109100417760).

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

1253135220000 is a wasteful number, since it uses less digits than its factorization.

1253135220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15506 (or 15483 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 1253135220000 in words is "one trillion, two hundred fifty-three billion, one hundred thirty-five million, two hundred twenty thousand".