1225929868800 has 960 divisors, whose sum is σ = 5145587994624. Its totient is φ = 250291814400.

The previous prime is 1225929868777. The next prime is 1225929868819. The reversal of 1225929868800 is 88689295221.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108320742 + ... + 108332058.

Almost surely, 2^{1225929868800} is an apocalyptic number.

1225929868800 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 1225929868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572793997312).

1225929868800 is an abundant number, since it is smaller than the sum of its proper divisors (3919658125824).

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

1225929868800 is a wasteful number, since it uses less digits than its factorization.

1225929868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11399 (or 11378 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 1225929868800 in words is "one trillion, two hundred twenty-five billion, nine hundred twenty-nine million, eight hundred sixty-eight thousand, eight hundred".