1068760123200 has 2016 divisors, whose sum is σ = 5046233687040. Its totient is φ = 207824486400.

The previous prime is 1068760123199. The next prime is 1068760123309. The reversal of 1068760123200 is 23210678601.

1068760123200 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 7 + 601 + 23 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1068760123200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2043518139 + ... + 2043518661.

Almost surely, 2^{1068760123200} is an apocalyptic number.

1068760123200 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 1068760123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523116843520).

1068760123200 is an abundant number, since it is smaller than the sum of its proper divisors (3977473563840).

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

1068760123200 is a wasteful number, since it uses less digits than its factorization.

1068760123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1068760123200 in words is "one trillion, sixty-eight billion, seven hundred sixty million, one hundred twenty-three thousand, two hundred".