1220401987200 has 1536 divisors, whose sum is σ = 5018078822400. Its totient is φ = 290760192000.

The previous prime is 1220401987171. The next prime is 1220401987201. The reversal of 1220401987200 is 27891040221.

1220401987200 is a `hidden beast` number, since 1 + 220 + 40 + 198 + 7 + 200 = 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 (1220401987201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6389539105 + ... + 6389539295.

It is an arithmetic number, because the mean of its divisors is an integer number (3266978400).

Almost surely, 2^{1220401987200} is an apocalyptic number.

1220401987200 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 1220401987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509039411200).

1220401987200 is an abundant number, since it is smaller than the sum of its proper divisors (3797676835200).

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

1220401987200 is an equidigital number, since it uses as much as digits as its factorization.

1220401987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1220401987200 in words is "one trillion, two hundred twenty billion, four hundred one million, nine hundred eighty-seven thousand, two hundred".