30000102211200 has 768 divisors, whose sum is σ = 108526226734080. Its totient is φ = 7223623680000.

The previous prime is 30000102211181. The next prime is 30000102211231. The reversal of 30000102211200 is 211220100003.

It is a super-2 number, since 2×30000102211200² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14416194160 + ... + 14416196240.

It is an arithmetic number, because the mean of its divisors is an integer number (141310191060).

Almost surely, 2^{30000102211200} is an apocalyptic number.

30000102211200 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 30000102211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54263113367040).

30000102211200 is an abundant number, since it is smaller than the sum of its proper divisors (78526124522880).

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

30000102211200 is a wasteful number, since it uses less digits than its factorization.

30000102211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 30000102211200 its reverse (211220100003), we get a palindrome (30211322311203).

The spelling of 30000102211200 in words is "thirty trillion, one hundred two million, two hundred eleven thousand, two hundred".