1260012600 has 288 divisors, whose sum is σ = 5276269440. Its totient is φ = 261792000.

The previous prime is 1260012599. The next prime is 1260012601. The reversal of 1260012600 is 62100621.

It is a happy number.

1260012600 is a `hidden beast` number, since 1 + 2 + 60 + 0 + 1 + 2 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1260012599) and next prime (1260012601).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260012601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134055 + ... + 143145.

It is an arithmetic number, because the mean of its divisors is an integer number (18320380).

Almost surely, 2^1260012600 is an apocalyptic number.

1260012600 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 1260012600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638134720).

1260012600 is an abundant number, since it is smaller than the sum of its proper divisors (4016256840).

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

1260012600 is a wasteful number, since it uses less digits than its factorization.

1260012600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1260012600 is about 35496.6561805475. The cubic root of 1260012600 is about 1080.0858985176.

It can be divided in two parts, 12600 and 12600, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 1260012600 in words is "one billion, two hundred sixty million, twelve thousand, six hundred".