30191227213056 has 1440 divisors, whose sum is σ = 104402068635648. Its totient is φ = 7695099740160.

The previous prime is 30191227213027. The next prime is 30191227213057. The reversal of 30191227213056 is 65031272219103.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 30191227212999 and 30191227213017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30191227213057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143086384791 + ... + 143086385001.

Almost surely, 2^{30191227213056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30191227213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52201034317824).

30191227213056 is an abundant number, since it is smaller than the sum of its proper divisors (74210841422592).

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

30191227213056 is a wasteful number, since it uses less digits than its factorization.

30191227213056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 30191227213056 in words is "thirty trillion, one hundred ninety-one billion, two hundred twenty-seven million, two hundred thirteen thousand, fifty-six".