32123126416356 has 192 divisors, whose sum is σ = 84318319411200. Its totient is φ = 10575221110272.

The previous prime is 32123126416351. The next prime is 32123126416357. The reversal of 32123126416356 is 65361462132123.

32123126416356 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 3 + 1 + 2 + 6 + 4 + 1 + 635 + 6 = 666.

It is a super-2 number, since 2×32123126416356² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32123126416351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6202570575 + ... + 6202575753.

It is an arithmetic number, because the mean of its divisors is an integer number (439157913600).

Almost surely, 2^{32123126416356} is an apocalyptic number.

32123126416356 is a gapful number since it is divisible by the number (36) 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 32123126416356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42159159705600).

32123126416356 is an abundant number, since it is smaller than the sum of its proper divisors (52195192994844).

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

32123126416356 is a wasteful number, since it uses less digits than its factorization.

32123126416356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7015 (or 7007 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

Adding to 32123126416356 its reverse (65361462132123), we get a palindrome (97484588548479).

The spelling of 32123126416356 in words is "thirty-two trillion, one hundred twenty-three billion, one hundred twenty-six million, four hundred sixteen thousand, three hundred fifty-six".