1221525505200 has 480 divisors, whose sum is σ = 5253760737792. Its totient is φ = 234298368000.

The previous prime is 1221525505171. The next prime is 1221525505217. The reversal of 1221525505200 is 25055251221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692740 + ... + 1709660.

Almost surely, 2^{1221525505200} is an apocalyptic number.

1221525505200 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 1221525505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626880368896).

1221525505200 is an abundant number, since it is smaller than the sum of its proper divisors (4032235232592).

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

1221525505200 is a wasteful number, since it uses less digits than its factorization.

1221525505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016973 (or 1016962 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 1221525505200 in words is "one trillion, two hundred twenty-one billion, five hundred twenty-five million, five hundred five thousand, two hundred".