1356101198712 has 288 divisors, whose sum is σ = 4062979908000. Its totient is φ = 408314649600.

The previous prime is 1356101198687. The next prime is 1356101198813. The reversal of 1356101198712 is 2178911016531.

1356101198712 is a `hidden beast` number, since 1 + 3 + 5 + 610 + 1 + 19 + 8 + 7 + 12 = 666.

It is a super-2 number, since 2×1356101198712² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147702762 + ... + 147711942.

It is an arithmetic number, because the mean of its divisors is an integer number (14107569125).

Almost surely, 2^{1356101198712} is an apocalyptic number.

1356101198712 is a gapful number since it is divisible by the number (12) 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 1356101198712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031489954000).

1356101198712 is an abundant number, since it is smaller than the sum of its proper divisors (2706878709288).

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

1356101198712 is a wasteful number, since it uses less digits than its factorization.

1356101198712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9479 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 1356101198712 in words is "one trillion, three hundred fifty-six billion, one hundred one million, one hundred ninety-eight thousand, seven hundred twelve".