10212123121200 has 2880 divisors, whose sum is σ = 49246672011264. Its totient is φ = 1891123200000.

The previous prime is 10212123121181. The next prime is 10212123121229. The reversal of 10212123121200 is 212132121201.

10212123121200 is a `hidden beast` number, since 1 + 0 + 21 + 212 + 312 + 120 + 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 575 ways as a sum of consecutive naturals, for example, 25466641000 + ... + 25466641400.

Almost surely, 2^{10212123121200} is an apocalyptic number.

10212123121200 is a gapful number since it is divisible by the number (10) 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 10212123121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24623336005632).

10212123121200 is an abundant number, since it is smaller than the sum of its proper divisors (39034548890064).

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

10212123121200 is a wasteful number, since it uses less digits than its factorization.

10212123121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

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

Adding to 10212123121200 its reverse (212132121201), we get a palindrome (10424255242401).

Subtracting from 10212123121200 its reverse (212132121201), we obtain a palindrome (9999990999999).

The spelling of 10212123121200 in words is "ten trillion, two hundred twelve billion, one hundred twenty-three million, one hundred twenty-one thousand, two hundred".