1221005425200 has 360 divisors, whose sum is σ = 4460465970240. Its totient is φ = 283130073600.

The previous prime is 1221005425193. The next prime is 1221005425201. The reversal of 1221005425200 is 25245001221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1221005425201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6895371 + ... + 7070229.

Almost surely, 2^{1221005425200} is an apocalyptic number.

1221005425200 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 1221005425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230232985120).

1221005425200 is an abundant number, since it is smaller than the sum of its proper divisors (3239460545040).

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

1221005425200 is a wasteful number, since it uses less digits than its factorization.

1221005425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174937 (or 174903 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

It can be divided in two parts, 1221005 and 425200, that added together give a triangular number (1646205 = T₁₈₁₄).

The spelling of 1221005425200 in words is "one trillion, two hundred twenty-one billion, five million, four hundred twenty-five thousand, two hundred".