1225898018400 has 576 divisors, whose sum is σ = 4392362370816. Its totient is φ = 294518784000.

The previous prime is 1225898018393. The next prime is 1225898018419. The reversal of 1225898018400 is 48108985221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1225898018400.

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, 1906528479 + ... + 1906529121.

It is an arithmetic number, because the mean of its divisors is an integer number (7625629116).

Almost surely, 2^{1225898018400} is an apocalyptic number.

1225898018400 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 1225898018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196181185408).

1225898018400 is an abundant number, since it is smaller than the sum of its proper divisors (3166464352416).

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

1225898018400 is a wasteful number, since it uses less digits than its factorization.

1225898018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 1225898018400 in words is "one trillion, two hundred twenty-five billion, eight hundred ninety-eight million, eighteen thousand, four hundred".