103020031212000 has 1536 divisors, whose sum is σ = 416781974568960. Its totient is φ = 21711605760000.

The previous prime is 103020031211989. The next prime is 103020031212097. The reversal of 103020031212000 is 212130020301.

It is a super-2 number, since 2×103020031212000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14778368515 + ... + 14778375485.

It is an arithmetic number, because the mean of its divisors is an integer number (271342431360).

Almost surely, 2^{103020031212000} is an apocalyptic number.

103020031212000 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 103020031212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208390987284480).

103020031212000 is an abundant number, since it is smaller than the sum of its proper divisors (313761943356960).

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

103020031212000 is a wasteful number, since it uses less digits than its factorization.

103020031212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7233 (or 7215 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103020031212000 its reverse (212130020301), we get a palindrome (103232161232301).

The spelling of 103020031212000 in words is "one hundred three trillion, twenty billion, thirty-one million, two hundred twelve thousand".