12135245625450 has 72 divisors (see below), whose sum is σ = 32611826384748. Its totient is φ = 3235225155840.

The previous prime is 12135245625443. The next prime is 12135245625563. The reversal of 12135245625450 is 5452654253121.

12135245625450 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 5 + 2 + 45 + 62 + 545 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11533040137089 + 602205488361 = 3396033^2 + 776019^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12135245625396 and 12135245625405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1765659 + ... + 5233358.

Almost surely, 2^{12135245625450} is an apocalyptic number.

12135245625450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12135245625450 is an abundant number, since it is smaller than the sum of its proper divisors (20476580759298).

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

12135245625450 is a wasteful number, since it uses less digits than its factorization.

12135245625450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002888 (or 7002880 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 12135245625450 its reverse (5452654253121), we get a palindrome (17587899878571).

The spelling of 12135245625450 in words is "twelve trillion, one hundred thirty-five billion, two hundred forty-five million, six hundred twenty-five thousand, four hundred fifty".