30212400000 has 384 divisors, whose sum is σ = 106280385120. Its totient is φ = 7577600000.

The previous prime is 30212399963. The next prime is 30212400011. The reversal of 30212400000 is 421203.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×30212400000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20399260 + ... + 20400740.

Almost surely, 2^30212400000 is an apocalyptic number.

30212400000 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 30212400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53140192560).

30212400000 is an abundant number, since it is smaller than the sum of its proper divisors (76067985120).

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

30212400000 is an equidigital number, since it uses as much as digits as its factorization.

30212400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 30212400000 its reverse (421203), we get a palindrome (30212821203).

The spelling of 30212400000 in words is "thirty billion, two hundred twelve million, four hundred thousand".