123771840 has 112 divisors (see below), whose sum is σ = 405749760. Its totient is φ = 31933440.

The previous prime is 123771829. The next prime is 123771881. The reversal of 123771840 is 48177321.

It is a happy number.

It is a super-4 number, since 4×123771840⁴ (a number of 33 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27681 + ... + 31839.

Almost surely, 2^123771840 is an apocalyptic number.

123771840 is a gapful number since it is divisible by the number (10) 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 123771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202874880).

123771840 is an abundant number, since it is smaller than the sum of its proper divisors (281977920).

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

123771840 is a wasteful number, since it uses less digits than its factorization.

123771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 123771840 is about 11125.2793223361. The cubic root of 123771840 is about 498.3570607475.

The spelling of 123771840 in words is "one hundred twenty-three million, seven hundred seventy-one thousand, eight hundred forty".