1263211603200 has 972 divisors, whose sum is σ = 4746067833780. Its totient is φ = 320488734720.

The previous prime is 1263211603189. The next prime is 1263211603243. The reversal of 1263211603200 is 23061123621.

1263211603200 is a `hidden beast` number, since 1 + 2 + 6 + 32 + 1 + 1 + 603 + 20 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 641485661184 + 621725942016 = 800928^2 + 788496^2 .

It is a super-2 number, since 2×1263211603200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4311302254 + ... + 4311302546.

Almost surely, 2^{1263211603200} is an apocalyptic number.

1263211603200 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 1263211603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373033916890).

1263211603200 is an abundant number, since it is smaller than the sum of its proper divisors (3482856230580).

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

1263211603200 is a wasteful number, since it uses less digits than its factorization.

1263211603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1263211603200 its reverse (23061123621), we get a palindrome (1286272726821).

The spelling of 1263211603200 in words is "one trillion, two hundred sixty-three billion, two hundred eleven million, six hundred three thousand, two hundred".