103212001126656 has 108 divisors (see below), whose sum is σ = 297614601314940. Its totient is φ = 34400652595200.

The previous prime is 103212001126649. The next prime is 103212001126733. The reversal of 103212001126656 is 656621100212301.

103212001126656 is a `hidden beast` number, since 1 + 0 + 321 + 20 + 0 + 1 + 1 + 266 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45390941798400 + 57821059328256 = 6737280^2 + 7604016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103212001126656.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21559110 + ... + 25907898.

Almost surely, 2^{103212001126656} is an apocalyptic number.

103212001126656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103212001126656 is an abundant number, since it is smaller than the sum of its proper divisors (194402600188284).

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

103212001126656 is a wasteful number, since it uses less digits than its factorization.

103212001126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359112 (or 4359095 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 103212001126656 its reverse (656621100212301), we get a palindrome (759833101338957).

The spelling of 103212001126656 in words is "one hundred three trillion, two hundred twelve billion, one million, one hundred twenty-six thousand, six hundred fifty-six".