12632135555130 has 256 divisors, whose sum is σ = 37834363284480. Its totient is φ = 2628048125952.

The previous prime is 12632135555107. The next prime is 12632135555147. The reversal of 12632135555130 is 3155553123621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1218254586 + ... + 1218264954.

It is an arithmetic number, because the mean of its divisors is an integer number (147790481580).

Almost surely, 2^{12632135555130} is an apocalyptic number.

12632135555130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12632135555130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917181642240).

12632135555130 is an abundant number, since it is smaller than the sum of its proper divisors (25202227729350).

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

12632135555130 is a wasteful number, since it uses less digits than its factorization.

12632135555130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16585.

The product of its (nonzero) digits is 405000, while the sum is 42.

Adding to 12632135555130 its reverse (3155553123621), we get a palindrome (15787688678751).

The spelling of 12632135555130 in words is "twelve trillion, six hundred thirty-two billion, one hundred thirty-five million, five hundred fifty-five thousand, one hundred thirty".