12702138120 has 320 divisors, whose sum is σ = 49128710400. Its totient is φ = 2883340800.

The previous prime is 12702138109. The next prime is 12702138139. The reversal of 12702138120 is 2183120721.

It is a super-2 number, since 2×12702138120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3422826 + ... + 3426534.

It is an arithmetic number, because the mean of its divisors is an integer number (153527220).

Almost surely, 2^12702138120 is an apocalyptic number.

12702138120 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 12702138120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24564355200).

12702138120 is an abundant number, since it is smaller than the sum of its proper divisors (36426572280).

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

12702138120 is a wasteful number, since it uses less digits than its factorization.

12702138120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 12702138120 its reverse (2183120721), we get a palindrome (14885258841).

The spelling of 12702138120 in words is "twelve billion, seven hundred two million, one hundred thirty-eight thousand, one hundred twenty".