126169120 has 288 divisors, whose sum is σ = 402192000. Its totient is φ = 37255680.

The previous prime is 126169117. The next prime is 126169123. The reversal of 126169120 is 21961621.

It is an interprime number because it is at equal distance from previous prime (126169117) and next prime (126169123).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126169123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6640471 + ... + 6640489.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2^126169120 is an apocalyptic number.

126169120 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 126169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096000).

126169120 is an abundant number, since it is smaller than the sum of its proper divisors (276022880).

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

126169120 is a wasteful number, since it uses less digits than its factorization.

126169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 126169120 is about 11232.5028377472. The cubic root of 126169120 is about 501.5539918815.

It can be divided in two parts, 12616 and 9120, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 126169120 in words is "one hundred twenty-six million, one hundred sixty-nine thousand, one hundred twenty".