1228506224400 has 2025 divisors, whose sum is σ = 5577622193949. Its totient is φ = 250263336960.

The previous prime is 1228506224389. The next prime is 1228506224411. The reversal of 1228506224400 is 44226058221.

The square root of 1228506224400 is 1108380.

It is a perfect power (a square), and thus also a powerful number.

1228506224400 is a `hidden beast` number, since 1 + 2 + 28 + 5 + 0 + 6 + 224 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1228506224389) and next prime (1228506224411).

It can be written as a sum of positive squares in 13 ways, for example, as 1136449809936 + 92056414464 = 1066044^2 + 303408^2 .

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

It is an unprimeable number.

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 404 ways as a sum of consecutive naturals, for example, 42362283586 + ... + 42362283614.

Almost surely, 2^{1228506224400} is an apocalyptic number.

1228506224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1228506224400 is the 1108380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228506224400

1228506224400 is an abundant number, since it is smaller than the sum of its proper divisors (4349115969549).

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

1228506224400 is a wasteful number, since it uses less digits than its factorization.

1228506224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 1228506224400 by its sum of digits (36), we get a square (44226224078400 = 6650280²).

1228506224400 divided by its sum of digits (36) gives a square (34125172900 = 184730²).

The spelling of 1228506224400 in words is "one trillion, two hundred twenty-eight billion, five hundred six million, two hundred twenty-four thousand, four hundred".