30002232101220 has 72 divisors (see below), whose sum is σ = 91009166484600. Its totient is φ = 8000384609280.

The previous prime is 30002232101213. The next prime is 30002232101239. The reversal of 30002232101220 is 2210123220003.

30002232101220 is a `hidden beast` number, since 300 + 0 + 2 + 232 + 10 + 122 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 375308165376 + 29626923935844 = 612624^2 + 5443062^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 30002232101193 and 30002232101202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4723006 + ... + 9072554.

It is an arithmetic number, because the mean of its divisors is an integer number (1264016201175).

Almost surely, 2^{30002232101220} is an apocalyptic number.

30002232101220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30002232101220 is an abundant number, since it is smaller than the sum of its proper divisors (61006934383380).

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

30002232101220 is a wasteful number, since it uses less digits than its factorization.

30002232101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387885 (or 4387880 counting only the distinct ones).

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

Adding to 30002232101220 its reverse (2210123220003), we get a palindrome (32212355321223).

The spelling of 30002232101220 in words is "thirty trillion, two billion, two hundred thirty-two million, one hundred one thousand, two hundred twenty".