1220414724900 has 216 divisors, whose sum is σ = 4387361107584. Its totient is φ = 277958822400.

The previous prime is 1220414724899. The next prime is 1220414724953. The reversal of 1220414724900 is 94274140221.

It is a happy number.

1220414724900 is a `hidden beast` number, since 1 + 2 + 20 + 4 + 147 + 2 + 490 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1425609 + ... + 2114991.

Almost surely, 2^{1220414724900} is an apocalyptic number.

1220414724900 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 1220414724900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193680553792).

1220414724900 is an abundant number, since it is smaller than the sum of its proper divisors (3166946382684).

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

1220414724900 is a wasteful number, since it uses less digits than its factorization.

1220414724900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689691 (or 689681 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 122041 and 4724900, that added together give a triangular number (4846941 = T₃₁₁₃).

The spelling of 1220414724900 in words is "one trillion, two hundred twenty billion, four hundred fourteen million, seven hundred twenty-four thousand, nine hundred".