1230968060100 has 243 divisors, whose sum is σ = 3990225227079. Its totient is φ = 317402899200.

The previous prime is 1230968060059. The next prime is 1230968060159. The reversal of 1230968060100 is 10608690321.

The square root of 1230968060100 is 1109490.

It is a perfect power (a square), and thus also a powerful number.

1230968060100 is a `hidden beast` number, since 12 + 30 + 9 + 6 + 8 + 0 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20140718724 + 1210827341376 = 141918^2 + 1100376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1031825104 + ... + 1031826296.

Almost surely, 2^{1230968060100} is an apocalyptic number.

1230968060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1230968060100 is the 1109490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230968060100

1230968060100 is an abundant number, since it is smaller than the sum of its proper divisors (2759257166979).

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

1230968060100 is a wasteful number, since it uses less digits than its factorization.

1230968060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 1230968060100 by its sum of digits (36), we get a square (44314850163600 = 6656940²).

1230968060100 divided by its sum of digits (36) gives a square (34193557225 = 184915²).

The spelling of 1230968060100 in words is "one trillion, two hundred thirty billion, nine hundred sixty-eight million, sixty thousand, one hundred".