103212142000 has 160 divisors (see below), whose sum is σ = 286585228800. Its totient is φ = 35556192000.

The previous prime is 103212141983. The next prime is 103212142027. The reversal of 103212142000 is 241212301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294541 + ... + 541459.

It is an arithmetic number, because the mean of its divisors is an integer number (1791157680).

Almost surely, 2^103212142000 is an apocalyptic number.

103212142000 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 103212142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143292614400).

103212142000 is an abundant number, since it is smaller than the sum of its proper divisors (183373086800).

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

103212142000 is a wasteful number, since it uses less digits than its factorization.

103212142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246972 (or 246956 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 103212142000 its reverse (241212301), we get a palindrome (103453354301).

The spelling of 103212142000 in words is "one hundred three billion, two hundred twelve million, one hundred forty-two thousand".