30985142181120 has 720 divisors, whose sum is σ = 114527901261312. Its totient is φ = 7990513090560.

The previous prime is 30985142181107. The next prime is 30985142181121. The reversal of 30985142181120 is 2118124158903.

30985142181120 is a `hidden beast` number, since 3 + 0 + 9 + 8 + 514 + 2 + 1 + 8 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30985142181121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6437799834 + ... + 6437804646.

Almost surely, 2^{30985142181120} is an apocalyptic number.

30985142181120 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 30985142181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57263950630656).

30985142181120 is an abundant number, since it is smaller than the sum of its proper divisors (83542759080192).

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

30985142181120 is a wasteful number, since it uses less digits than its factorization.

30985142181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6880 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 30985142181120 in words is "thirty trillion, nine hundred eighty-five billion, one hundred forty-two million, one hundred eighty-one thousand, one hundred twenty".