122071124 has 48 divisors (see below), whose sum is σ = 258249600. Its totient is φ = 49320576.

The previous prime is 122071123. The next prime is 122071127. The reversal of 122071124 is 421170221.

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 122071096 and 122071105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122071123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142682 + ... + 143534.

It is an arithmetic number, because the mean of its divisors is an integer number (5380200).

Almost surely, 2^122071124 is an apocalyptic number.

122071124 is a gapful number since it is divisible by the number (14) 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 122071124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129124800).

122071124 is an abundant number, since it is smaller than the sum of its proper divisors (136178476).

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

122071124 is a wasteful number, since it uses less digits than its factorization.

122071124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 122071124 is about 11048.5801802766. The cubic root of 122071124 is about 496.0639279811.

It can be divided in two parts, 12207 and 1124, that added together give a palindrome (13331).

The spelling of 122071124 in words is "one hundred twenty-two million, seventy-one thousand, one hundred twenty-four".