103212410124032 has 216 divisors, whose sum is σ = 228813409173888. Its totient is φ = 46426772367360.

The previous prime is 103212410123989. The next prime is 103212410124071. The reversal of 103212410124032 is 230421014212301.

It is a happy number.

It is a super-2 number, since 2×103212410124032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103212410123992 and 103212410124010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3205039643 + ... + 3205071845.

It is an arithmetic number, because the mean of its divisors is an integer number (1059321338768).

Almost surely, 2^{103212410124032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103212410124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114406704586944).

103212410124032 is an abundant number, since it is smaller than the sum of its proper divisors (125600999049856).

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

103212410124032 is a wasteful number, since it uses less digits than its factorization.

103212410124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33315 (or 33290 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 103212410124032 its reverse (230421014212301), we get a palindrome (333633424336333).

The spelling of 103212410124032 in words is "one hundred three trillion, two hundred twelve billion, four hundred ten million, one hundred twenty-four thousand, thirty-two".