1220532744600 has 1152 divisors, whose sum is σ = 4829743376640. Its totient is φ = 273489592320.

The previous prime is 1220532744593. The next prime is 1220532744601. The reversal of 1220532744600 is 64472350221.

1220532744600 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 3 + 2 + 7 + 44 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220532744601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1813569864 + ... + 1813570536.

It is an arithmetic number, because the mean of its divisors is an integer number (4192485570).

Almost surely, 2^{1220532744600} is an apocalyptic number.

1220532744600 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 1220532744600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414871688320).

1220532744600 is an abundant number, since it is smaller than the sum of its proper divisors (3609210632040).

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

1220532744600 is a wasteful number, since it uses less digits than its factorization.

1220532744600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1220532744600 in words is "one trillion, two hundred twenty billion, five hundred thirty-two million, seven hundred forty-four thousand, six hundred".