30142101120 has 128 divisors (see below), whose sum is σ = 96129288000. Its totient is φ = 8033599488.

The previous prime is 30142101091. The next prime is 30142101127. The reversal of 30142101120 is 2110124103.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30142101120.

It is not an unprimeable number, because it can be changed into a prime (30142101127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5409696 + ... + 5415264.

Almost surely, 2^30142101120 is an apocalyptic number.

30142101120 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 30142101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48064644000).

30142101120 is an abundant number, since it is smaller than the sum of its proper divisors (65987186880).

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

30142101120 is a wasteful number, since it uses less digits than its factorization.

30142101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 30142101120 its reverse (2110124103), we get a palindrome (32252225223).

The spelling of 30142101120 in words is "thirty billion, one hundred forty-two million, one hundred one thousand, one hundred twenty".