120001440 has 96 divisors (see below), whose sum is σ = 407102976. Its totient is φ = 29537280.

The previous prime is 120001439. The next prime is 120001477. The reversal of 120001440 is 44100021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3376 + ... + 15855.

It is an arithmetic number, because the mean of its divisors is an integer number (4240656).

Almost surely, 2^120001440 is an apocalyptic number.

120001440 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 120001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203551488).

120001440 is an abundant number, since it is smaller than the sum of its proper divisors (287101536).

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

120001440 is a wasteful number, since it uses less digits than its factorization.

120001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19262 (or 19254 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 120001440 is about 10954.5168766130. The cubic root of 120001440 is about 493.2443878279.

Adding to 120001440 its reverse (44100021), we get a palindrome (164101461).

The spelling of 120001440 in words is "one hundred twenty million, one thousand, four hundred forty".