30203661120 has 112 divisors (see below), whose sum is σ = 96088809600. Its totient is φ = 8038168576.

The previous prime is 30203661113. The next prime is 30203661139. The reversal of 30203661120 is 2116630203.

It is a happy number.

It is a super-2 number, since 2×30203661120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451606 + ... + 514154.

It is an arithmetic number, because the mean of its divisors is an integer number (857935800).

Almost surely, 2^30203661120 is an apocalyptic number.

30203661120 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 30203661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48044404800).

30203661120 is an abundant number, since it is smaller than the sum of its proper divisors (65885148480).

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

30203661120 is a wasteful number, since it uses less digits than its factorization.

30203661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63072 (or 63062 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 30203661120 in words is "thirty billion, two hundred three million, six hundred sixty-one thousand, one hundred twenty".