103211227691712 has 280 divisors, whose sum is σ = 349694382302496. Its totient is φ = 29485821284352.

The previous prime is 103211227691707. The next prime is 103211227691771. The reversal of 103211227691712 is 217196722112301.

103211227691712 is a `hidden beast` number, since 1 + 0 + 321 + 1 + 227 + 6 + 91 + 7 + 12 = 666.

It is a super-3 number, since 3×103211227691712³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 356675278 + ... + 356964530.

Almost surely, 2^{103211227691712} is an apocalyptic number.

103211227691712 is a gapful number since it is divisible by the number (12) 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 103211227691712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174847191151248).

103211227691712 is an abundant number, since it is smaller than the sum of its proper divisors (246483154610784).

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

103211227691712 is an equidigital number, since it uses as much as digits as its factorization.

103211227691712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299117 (or 299098 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 103211227691712 in words is "one hundred three trillion, two hundred eleven billion, two hundred twenty-seven million, six hundred ninety-one thousand, seven hundred twelve".