30211311201120 has 144 divisors (see below), whose sum is σ = 117824113723680. Its totient is φ = 6905442557952.

The previous prime is 30211311201107. The next prime is 30211311201131. The reversal of 30211311201120 is 2110211311203.

30211311201120 is a `hidden beast` number, since 3 + 0 + 211 + 311 + 20 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 30211311201093 and 30211311201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1498566865 + ... + 1498587024.

It is an arithmetic number, because the mean of its divisors is an integer number (818223011970).

Almost surely, 2^{30211311201120} is an apocalyptic number.

30211311201120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30211311201120 is an abundant number, since it is smaller than the sum of its proper divisors (87612802522560).

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

30211311201120 is a wasteful number, since it uses less digits than its factorization.

30211311201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997153917 (or 2997153906 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 30211311201120 its reverse (2110211311203), we get a palindrome (32321522512323).

The spelling of 30211311201120 in words is "thirty trillion, two hundred eleven billion, three hundred eleven million, two hundred one thousand, one hundred twenty".