30001221301200 has 240 divisors, whose sum is σ = 102381371476416. Its totient is φ = 7483522867200.

The previous prime is 30001221301147. The next prime is 30001221301267. The reversal of 30001221301200 is 210312210003.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×30001221301200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30001221301200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185991 + ... + 7836390.

Almost surely, 2^{30001221301200} is an apocalyptic number.

30001221301200 is a gapful number since it is divisible by the number (30) 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 30001221301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51190685738208).

30001221301200 is an abundant number, since it is smaller than the sum of its proper divisors (72380150175216).

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

30001221301200 is a wasteful number, since it uses less digits than its factorization.

30001221301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9022582 (or 9022571 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30001221301200 its reverse (210312210003), we get a palindrome (30211533511203).

The spelling of 30001221301200 in words is "thirty trillion, one billion, two hundred twenty-one million, three hundred one thousand, two hundred".