123000777072 has 100 divisors (see below), whose sum is σ = 356313551616. Its totient is φ = 40964140800.

The previous prime is 123000777061. The next prime is 123000777083. The reversal of 123000777072 is 270777000321.

123000777072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (123000777061) and next prime (123000777083).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1450468 + ... + 1532924.

Almost surely, 2^123000777072 is an apocalyptic number.

123000777072 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 123000777072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178156775808).

123000777072 is an abundant number, since it is smaller than the sum of its proper divisors (233312774544).

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

123000777072 is a wasteful number, since it uses less digits than its factorization.

123000777072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83628 (or 83613 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

Adding to 123000777072 its reverse (270777000321), we get a palindrome (393777777393).

The spelling of 123000777072 in words is "one hundred twenty-three billion, seven hundred seventy-seven thousand, seventy-two".