1200210202125 has 192 divisors, whose sum is σ = 2503065846528. Its totient is φ = 546822144000.

The previous prime is 1200210202117. The next prime is 1200210202153. The reversal of 1200210202125 is 5212020120021.

It is not a de Polignac number, because 1200210202125 - 2³ = 1200210202117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1200210202098 and 1200210202107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143681949 + ... + 143690301.

It is an arithmetic number, because the mean of its divisors is an integer number (13036801284).

Almost surely, 2^{1200210202125} is an apocalyptic number.

1200210202125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1200210202125 is an abundant number, since it is smaller than the sum of its proper divisors (1302855644403).

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

1200210202125 is a wasteful number, since it uses less digits than its factorization.

1200210202125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9085 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 1200210202125 its reverse (5212020120021), we get a palindrome (6412230322146).

The spelling of 1200210202125 in words is "one trillion, two hundred billion, two hundred ten million, two hundred two thousand, one hundred twenty-five".