1203051056400 has 360 divisors, whose sum is σ = 4470193788840. Its totient is φ = 298548264960.

The previous prime is 1203051056399. The next prime is 1203051056401. The reversal of 1203051056400 is 46501503021.

1203051056400 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 0 + 5 + 10 + 5 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1203051056399) and next prime (1203051056401).

It can be written as a sum of positive squares in 12 ways, for example, as 74620756224 + 1128430300176 = 273168^2 + 1062276^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (1203051056401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5336364 + ... + 5557236.

It is an arithmetic number, because the mean of its divisors is an integer number (12417204969).

Almost surely, 2^{1203051056400} is an apocalyptic number.

1203051056400 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 1203051056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235096894420).

1203051056400 is an abundant number, since it is smaller than the sum of its proper divisors (3267142732440).

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

1203051056400 is a wasteful number, since it uses less digits than its factorization.

1203051056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221003 (or 220989 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1203051056400 its reverse (46501503021), we get a palindrome (1249552559421).

The spelling of 1203051056400 in words is "one trillion, two hundred three billion, fifty-one million, fifty-six thousand, four hundred".