123121152 has 240 divisors, whose sum is σ = 444292992. Its totient is φ = 31887360.

The previous prime is 123121151. The next prime is 123121177. The reversal of 123121152 is 251121321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123121151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354643 + ... + 354989.

Almost surely, 2^123121152 is an apocalyptic number.

123121152 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 123121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222146496).

123121152 is an abundant number, since it is smaller than the sum of its proper divisors (321171840).

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

123121152 is a wasteful number, since it uses less digits than its factorization.

123121152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 123121152 is about 11095.9971160775. The cubic root of 123121152 is about 497.4822121027.

Adding to 123121152 its reverse (251121321), we get a palindrome (374242473).

The spelling of 123121152 in words is "one hundred twenty-three million, one hundred twenty-one thousand, one hundred fifty-two".