1362077121132 has 288 divisors, whose sum is σ = 4578419664000. Its totient is φ = 338097328128.

The previous prime is 1362077121107. The next prime is 1362077121133. The reversal of 1362077121132 is 2311217702631.

1362077121132 is a `hidden beast` number, since 1 + 3 + 620 + 7 + 7 + 1 + 21 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×1362077121132² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1362077121133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2479344 + ... + 2978472.

It is an arithmetic number, because the mean of its divisors is an integer number (15897290500).

Almost surely, 2^{1362077121132} is an apocalyptic number.

1362077121132 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 1362077121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289209832000).

1362077121132 is an abundant number, since it is smaller than the sum of its proper divisors (3216342542868).

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

1362077121132 is a wasteful number, since it uses less digits than its factorization.

1362077121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499190 (or 499171 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 1362077121132 in words is "one trillion, three hundred sixty-two billion, seventy-seven million, one hundred twenty-one thousand, one hundred thirty-two".