30122113121100 has 1152 divisors, whose sum is σ = 134502691276800. Its totient is φ = 5578423603200.

The previous prime is 30122113121081. The next prime is 30122113121117. The reversal of 30122113121100 is 112131122103.

30122113121100 is a `hidden beast` number, since 30 + 1 + 2 + 211 + 312 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 78186142 + ... + 78570458.

It is an arithmetic number, because the mean of its divisors is an integer number (116755808400).

Almost surely, 2^{30122113121100} is an apocalyptic number.

30122113121100 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 30122113121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67251345638400).

30122113121100 is an abundant number, since it is smaller than the sum of its proper divisors (104380578155700).

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

30122113121100 is a wasteful number, since it uses less digits than its factorization.

30122113121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384400 (or 384387 counting only the distinct ones).

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

Adding to 30122113121100 its reverse (112131122103), we get a palindrome (30234244243203).

The spelling of 30122113121100 in words is "thirty trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred twenty-one thousand, one hundred".