103212120000 has 280 divisors, whose sum is σ = 372270235392. Its totient is φ = 25020800000.

The previous prime is 103212119993. The next prime is 103212120007. The reversal of 103212120000 is 21212301.

It is an interprime number because it is at equal distance from previous prime (103212119993) and next prime (103212120007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1280905 + ... + 1359095.

Almost surely, 2^103212120000 is an apocalyptic number.

103212120000 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 103212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186135117696).

103212120000 is an abundant number, since it is smaller than the sum of its proper divisors (269058115392).

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

103212120000 is an equidigital number, since it uses as much as digits as its factorization.

103212120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78237 (or 78212 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103212120000 its reverse (21212301), we get a palindrome (103233332301).

The spelling of 103212120000 in words is "one hundred three billion, two hundred twelve million, one hundred twenty thousand".