120361000 has 64 divisors (see below), whose sum is σ = 289345680. Its totient is φ = 46828800.

The previous prime is 120360979. The next prime is 120361009. The reversal of 120361000 is 163021.

It can be written as a sum of positive squares in 8 ways, for example, as 57729604 + 62631396 = 7598^2 + 7914^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120361009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35374 + ... + 38626.

Almost surely, 2^120361000 is an apocalyptic number.

120361000 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 120361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144672840).

120361000 is an abundant number, since it is smaller than the sum of its proper divisors (168984680).

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

120361000 is a wasteful number, since it uses less digits than its factorization.

120361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 120361000 is about 10970.9160966621. The cubic root of 120361000 is about 493.7365322396.

The spelling of 120361000 in words is "one hundred twenty million, three hundred sixty-one thousand".