1274221821600 has 3456 divisors, whose sum is σ = 6420549058560. Its totient is φ = 238639841280.

The previous prime is 1274221821577. The next prime is 1274221821601. The reversal of 1274221821600 is 61281224721.

1274221821600 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 2 + 21 + 8 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1274221821601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5713999089 + ... + 5713999311.

It is an arithmetic number, because the mean of its divisors is an integer number (1857797760).

Almost surely, 2^{1274221821600} is an apocalyptic number.

1274221821600 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 1274221821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210274529280).

1274221821600 is an abundant number, since it is smaller than the sum of its proper divisors (5146327236960).

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

1274221821600 is a wasteful number, since it uses less digits than its factorization.

1274221821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1274221821600 in words is "one trillion, two hundred seventy-four billion, two hundred twenty-one million, eight hundred twenty-one thousand, six hundred".