1266220800 has 648 divisors, whose sum is σ = 5189511600. Its totient is φ = 291962880.

The previous prime is 1266220799. The next prime is 1266220801. The reversal of 1266220800 is 80226621.

It is an interprime number because it is at equal distance from previous prime (1266220799) and next prime (1266220801).

It is a super-2 number, since 2×1266220800² = 3206630228705280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266220801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14227156 + ... + 14227244.

Almost surely, 2^1266220800 is an apocalyptic number.

1266220800 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 1266220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594755800).

1266220800 is an abundant number, since it is smaller than the sum of its proper divisors (3923290800).

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

1266220800 is a wasteful number, since it uses less digits than its factorization.

1266220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1266220800 is about 35583.9964028775. The cubic root of 1266220800 is about 1081.8568878521.

The spelling of 1266220800 in words is "one billion, two hundred sixty-six million, two hundred twenty thousand, eight hundred".