1221463600 has 240 divisors, whose sum is σ = 3613483008. Its totient is φ = 387256320.

The previous prime is 1221463591. The next prime is 1221463609. The reversal of 1221463600 is 63641221.

It is an interprime number because it is at equal distance from previous prime (1221463591) and next prime (1221463609).

It is a super-3 number, since 3×1221463600³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1221463609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3189009 + ... + 3189391.

Almost surely, 2^1221463600 is an apocalyptic number.

1221463600 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 1221463600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806741504).

1221463600 is an abundant number, since it is smaller than the sum of its proper divisors (2392019408).

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

1221463600 is a wasteful number, since it uses less digits than its factorization.

1221463600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1221463600 is about 34949.4434862703. The cubic root of 1221463600 is about 1068.9568545042.

The spelling of 1221463600 in words is "one billion, two hundred twenty-one million, four hundred sixty-three thousand, six hundred".