3012112203100 has 288 divisors, whose sum is σ = 8862909737472. Its totient is φ = 858038400000.

The previous prime is 3012112203053. The next prime is 3012112203143. The reversal of 3012112203100 is 13022112103.

It is a super-2 number, since 2×3012112203100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9961135 + ... + 10259065.

It is an arithmetic number, because the mean of its divisors is an integer number (30773992144).

Almost surely, 2^{3012112203100} 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 3012112203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431454868736).

3012112203100 is an abundant number, since it is smaller than the sum of its proper divisors (5850797534372).

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

3012112203100 is a wasteful number, since it uses less digits than its factorization.

3012112203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298077 (or 298070 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3012112203100 its reverse (13022112103), we get a palindrome (3025134315203).

It can be divided in two parts, 30121 and 12203100, that added together give a palindrome (12233221).

The spelling of 3012112203100 in words is "three trillion, twelve billion, one hundred twelve million, two hundred three thousand, one hundred".