1429125120 has 240 divisors, whose sum is σ = 5125400280. Its totient is φ = 380878848.

The previous prime is 1429125119. The next prime is 1429125127. The reversal of 1429125120 is 215219241.

1429125120 is a `hidden beast` number, since 142 + 9 + 1 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429125127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 828579 + ... + 830301.

Almost surely, 2^1429125120 is an apocalyptic number.

1429125120 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 1429125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562700140).

1429125120 is an abundant number, since it is smaller than the sum of its proper divisors (3696275160).

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

1429125120 is an equidigital number, since it uses as much as digits as its factorization.

1429125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1429125120 is about 37803.7712404464. The cubic root of 1429125120 is about 1126.3933668687.

The spelling of 1429125120 in words is "one billion, four hundred twenty-nine million, one hundred twenty-five thousand, one hundred twenty".