1302252552000 has 672 divisors, whose sum is σ = 5085309290880. Its totient is φ = 328980787200.

The previous prime is 1302252551993. The next prime is 1302252552023. The reversal of 1302252552000 is 2552522031.

1302252552000 is a `hidden beast` number, since 130 + 2 + 2 + 5 + 2 + 5 + 520 + 0 + 0 = 666.

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

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, 36918372 + ... + 36953628.

It is an arithmetic number, because the mean of its divisors is an integer number (7567424540).

Almost surely, 2^{1302252552000} is an apocalyptic number.

1302252552000 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 1302252552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542654645440).

1302252552000 is an abundant number, since it is smaller than the sum of its proper divisors (3783056738880).

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

1302252552000 is an equidigital number, since it uses as much as digits as its factorization.

1302252552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35318 (or 35286 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 1302252552000 in words is "one trillion, three hundred two billion, two hundred fifty-two million, five hundred fifty-two thousand".