1223252092800 has 576 divisors, whose sum is σ = 4562420709600. Its totient is φ = 311483842560.

The previous prime is 1223252092789. The next prime is 1223252092849. The reversal of 1223252092800 is 82902523221.

1223252092800 is a `hidden beast` number, since 1 + 22 + 32 + 520 + 9 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 512034006 + ... + 512036394.

Almost surely, 2^{1223252092800} is an apocalyptic number.

1223252092800 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 1223252092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281210354800).

1223252092800 is an abundant number, since it is smaller than the sum of its proper divisors (3339168616800).

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

1223252092800 is a wasteful number, since it uses less digits than its factorization.

1223252092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1223252092800 in words is "one trillion, two hundred twenty-three billion, two hundred fifty-two million, ninety-two thousand, eight hundred".