123101197632 has 560 divisors, whose sum is σ = 440917340160. Its totient is φ = 33198916608.

The previous prime is 123101197631. The next prime is 123101197633. The reversal of 123101197632 is 236791101321.

123101197632 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 0 + 1 + 19 + 7 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (123101197631) and next prime (123101197633).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123101197631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65934363 + ... + 65936229.

Almost surely, 2^123101197632 is an apocalyptic number.

123101197632 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 123101197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220458670080).

123101197632 is an abundant number, since it is smaller than the sum of its proper divisors (317816142528).

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

123101197632 is a wasteful number, since it uses less digits than its factorization.

123101197632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Adding to 123101197632 its reverse (236791101321), we get a palindrome (359892298953).

The spelling of 123101197632 in words is "one hundred twenty-three billion, one hundred one million, one hundred ninety-seven thousand, six hundred thirty-two".