20121212123100 has 216 divisors, whose sum is σ = 71793758155392. Its totient is φ = 4665788265600.

The previous prime is 20121212123093. The next prime is 20121212123107. The reversal of 20121212123100 is 132121212102.

20121212123100 is a `hidden beast` number, since 2 + 0 + 121 + 21 + 212 + 310 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20121212123093) and next prime (20121212123107).

It is a super-2 number, since 2×20121212123100² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121212123107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43955902 + ... + 44411301.

Almost surely, 2^{20121212123100} is an apocalyptic number.

20121212123100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121212123100 is an abundant number, since it is smaller than the sum of its proper divisors (51672546032292).

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

20121212123100 is a wasteful number, since it uses less digits than its factorization.

20121212123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88367257 (or 88367247 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20121212123100 its reverse (132121212102), we get a palindrome (20253333335202).

The spelling of 20121212123100 in words is "twenty trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twenty-three thousand, one hundred".