1253540121132 has 48 divisors (see below), whose sum is σ = 3150022034432. Its totient is φ = 385692321600.

The previous prime is 1253540121109. The next prime is 1253540121137. The reversal of 1253540121132 is 2311210453521.

It is a happy number.

It is a super-3 number, since 3×1253540121132³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1253540121132.

It is not an unprimeable number, because it can be changed into a prime (1253540121137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5576133 + ... + 5796579.

Almost surely, 2^{1253540121132} is an apocalyptic number.

1253540121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1253540121132 is an abundant number, since it is smaller than the sum of its proper divisors (1896481913300).

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

1253540121132 is a wasteful number, since it uses less digits than its factorization.

1253540121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256918 (or 256916 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1253540121132 its reverse (2311210453521), we get a palindrome (3564750574653).

The spelling of 1253540121132 in words is "one trillion, two hundred fifty-three billion, five hundred forty million, one hundred twenty-one thousand, one hundred thirty-two".