1221334200 has 120 divisors (see below), whose sum is σ = 4241930880. Its totient is φ = 325684800.

The previous prime is 1221334189. The next prime is 1221334211. The reversal of 1221334200 is 24331221.

It is an interprime number because it is at equal distance from previous prime (1221334189) and next prime (1221334211).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×1221334200⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21496 + ... + 53895.

It is an arithmetic number, because the mean of its divisors is an integer number (35349424).

Almost surely, 2^1221334200 is an apocalyptic number.

1221334200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221334200 is an abundant number, since it is smaller than the sum of its proper divisors (3020596680).

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

1221334200 is a wasteful number, since it uses less digits than its factorization.

1221334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75419 (or 75401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1221334200 is about 34947.5921917376. The cubic root of 1221334200 is about 1068.9191052822.

Adding to 1221334200 its reverse (24331221), we get a palindrome (1245665421).

The spelling of 1221334200 in words is "one billion, two hundred twenty-one million, three hundred thirty-four thousand, two hundred".