1260612472900 has 243 divisors, whose sum is σ = 3076430300503. Its totient is φ = 448030140800.

The previous prime is 1260612472879. The next prime is 1260612472901. The reversal of 1260612472900 is 92742160621.

The square root of 1260612472900 is 1122770.

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

It can be written as a sum of positive squares in 4 ways, for example, as 138775620676 + 1121836852224 = 372526^2 + 1059168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1260612472901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7286777214 + ... + 7286777386.

Almost surely, 2^{1260612472900} is an apocalyptic number.

1260612472900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1260612472900 is the 1122770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1260612472900

1260612472900 is an abundant number, since it is smaller than the sum of its proper divisors (1815817827603).

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

1260612472900 is a wasteful number, since it uses less digits than its factorization.

1260612472900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 1260612472900 in words is "one trillion, two hundred sixty billion, six hundred twelve million, four hundred seventy-two thousand, nine hundred".