1362007347012 has 192 divisors, whose sum is σ = 4035567432960. Its totient is φ = 393534056448.

The previous prime is 1362007346989. The next prime is 1362007347013. The reversal of 1362007347012 is 2107437002631.

1362007347012 is a `hidden beast` number, since 13 + 620 + 0 + 7 + 3 + 4 + 7 + 0 + 12 = 666.

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 (1362007347013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10509118 + ... + 10637930.

It is an arithmetic number, because the mean of its divisors is an integer number (21018580380).

Almost surely, 2^{1362007347012} is an apocalyptic number.

1362007347012 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 1362007347012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017783716480).

1362007347012 is an abundant number, since it is smaller than the sum of its proper divisors (2673560085948).

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

1362007347012 is a wasteful number, since it uses less digits than its factorization.

1362007347012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129299 (or 129291 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 1362007347012 in words is "one trillion, three hundred sixty-two billion, seven million, three hundred forty-seven thousand, twelve".