120901248 has 288 divisors, whose sum is σ = 407665440. Its totient is φ = 35582976.

The previous prime is 120901247. The next prime is 120901259. The reversal of 120901248 is 842109021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×120901248² = 29234223535915008, which contains 22 as substring.

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 (120901247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5256565 + ... + 5256587.

It is an arithmetic number, because the mean of its divisors is an integer number (1415505).

Almost surely, 2^120901248 is an apocalyptic number.

120901248 is a gapful number since it is divisible by the number (18) 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 120901248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203832720).

120901248 is an abundant number, since it is smaller than the sum of its proper divisors (286764192).

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

120901248 is an equidigital number, since it uses as much as digits as its factorization.

120901248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 120901248 is about 10995.5103565046. The cubic root of 120901248 is about 494.4741523239.

The spelling of 120901248 in words is "one hundred twenty million, nine hundred one thousand, two hundred forty-eight".