1252114312120 has 128 divisors (see below), whose sum is σ = 3253524848640. Its totient is φ = 424808017920.

The previous prime is 1252114312079. The next prime is 1252114312159. The reversal of 1252114312120 is 212134112521.

It is a congruent number.

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, 12899689 + ... + 12996391.

It is an arithmetic number, because the mean of its divisors is an integer number (25418162880).

Almost surely, 2^{1252114312120} is an apocalyptic number.

1252114312120 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 1252114312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626762424320).

1252114312120 is an abundant number, since it is smaller than the sum of its proper divisors (2001410536520).

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

1252114312120 is a wasteful number, since it uses less digits than its factorization.

1252114312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97205 (or 97201 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 1252114312120 its reverse (212134112521), we get a palindrome (1464248424641).

The spelling of 1252114312120 in words is "one trillion, two hundred fifty-two billion, one hundred fourteen million, three hundred twelve thousand, one hundred twenty".