1308212000640 has 768 divisors, whose sum is σ = 4762445688000. Its totient is φ = 343125393408.

The previous prime is 1308212000639. The next prime is 1308212000681. The reversal of 1308212000640 is 460002128031.

1308212000640 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 2 + 12 + 0 + 0 + 0 + 640 = 666.

It is a super-2 number, since 2×1308212000640² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3881934552 + ... + 3881934888.

Almost surely, 2^{1308212000640} is an apocalyptic number.

1308212000640 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 1308212000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381222844000).

1308212000640 is an abundant number, since it is smaller than the sum of its proper divisors (3454233687360).

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

1308212000640 is a wasteful number, since it uses less digits than its factorization.

1308212000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1308212000640 its reverse (460002128031), we get a palindrome (1768214128671).

The spelling of 1308212000640 in words is "one trillion, three hundred eight billion, two hundred twelve million, six hundred forty", and thus it is an aban number.