1284081253200 has 180 divisors, whose sum is σ = 4462651514880. Its totient is φ = 341919663360.

The previous prime is 1284081253181. The next prime is 1284081253219. The reversal of 1284081253200 is 23521804821.

It is a happy number.

1284081253200 is a `hidden beast` number, since 1 + 2 + 8 + 40 + 81 + 2 + 532 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1284081253181) and next prime (1284081253219).

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 2197681 + ... + 2719919.

It is an arithmetic number, because the mean of its divisors is an integer number (24792508416).

Almost surely, 2^{1284081253200} is an apocalyptic number.

1284081253200 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 1284081253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231325757440).

1284081253200 is an abundant number, since it is smaller than the sum of its proper divisors (3178570261680).

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

1284081253200 is a wasteful number, since it uses less digits than its factorization.

1284081253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522946 (or 522932 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1284081253200 in words is "one trillion, two hundred eighty-four billion, eighty-one million, two hundred fifty-three thousand, two hundred".