36051120 has 240 divisors, whose sum is σ = 144847872. Its totient is φ = 7856640.

The previous prime is 36051107. The next prime is 36051121. The reversal of 36051120 is 2115063.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 36051093 and 36051102.

It is not an unprimeable number, because it can be changed into a prime (36051121) 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, 115765 + ... + 116075.

Almost surely, 2^36051120 is an apocalyptic number.

36051120 is a gapful number since it is divisible by the number (30) 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 36051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72423936).

36051120 is an abundant number, since it is smaller than the sum of its proper divisors (108796752).

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

36051120 is a wasteful number, since it uses less digits than its factorization.

36051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 36051120 is about 6004.2584887728. The cubic root of 36051120 is about 330.3489421930.

Adding to 36051120 its reverse (2115063), we get a palindrome (38166183).

The spelling of 36051120 in words is "thirty-six million, fifty-one thousand, one hundred twenty".