1306111062120 has 128 divisors (see below), whose sum is σ = 4128222672000. Its totient is φ = 329671987200.

The previous prime is 1306111062107. The next prime is 1306111062127. The reversal of 1306111062120 is 212601116031.

It is a happy number.

It is a super-2 number, since 2×1306111062120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1306111062127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2320420 + ... + 2827820.

It is an arithmetic number, because the mean of its divisors is an integer number (32251739625).

Almost surely, 2^{1306111062120} is an apocalyptic number.

1306111062120 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 1306111062120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064111336000).

1306111062120 is an abundant number, since it is smaller than the sum of its proper divisors (2822111609880).

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

1306111062120 is a wasteful number, since it uses less digits than its factorization.

1306111062120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508563 (or 508559 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 1306111062120 its reverse (212601116031), we get a palindrome (1518712178151).

The spelling of 1306111062120 in words is "one trillion, three hundred six billion, one hundred eleven million, sixty-two thousand, one hundred twenty".