1225713060000 has 2700 divisors, whose sum is σ = 5506343254566. Its totient is φ = 266872320000.

The previous prime is 1225713059947. The next prime is 1225713060017. The reversal of 1225713060000 is 603175221.

It is a happy number.

1225713060000 is a `hidden beast` number, since 1 + 2 + 2 + 57 + 1 + 3 + 0 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 679101253776 + 546611806224 = 824076^2 + 739332^2 .

It is a tau number, because it is divible by the number of its divisors (2700).

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

It is an unprimeable number.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 33127379982 + ... + 33127380018.

Almost surely, 2^{1225713060000} is an apocalyptic number.

1225713060000 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 1225713060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753171627283).

1225713060000 is an abundant number, since it is smaller than the sum of its proper divisors (4280630194566).

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

1225713060000 is a wasteful number, since it uses less digits than its factorization.

1225713060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 1225713060000 in words is "one trillion, two hundred twenty-five billion, seven hundred thirteen million, sixty thousand".