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120990000 = 2435437109
BaseRepresentation
bin1110011011000…
…10100100110000
322102122221002010
413031202210300
5221433140000
620001122520
72666253345
oct715424460
9272587063
10120990000
116232863a
1234629440
131c0b2721
14120d67cc
15a94dd50
hex7362930

120990000 has 200 divisors, whose sum is σ = 404807920. Its totient is φ = 31104000.

The previous prime is 120989989. The next prime is 120990017. The reversal of 120990000 is 99021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1109946 + ... + 1110054.

Almost surely, 2120990000 is an apocalyptic number.

120990000 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 120990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202403960).

120990000 is an abundant number, since it is smaller than the sum of its proper divisors (283817920).

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

120990000 is a wasteful number, since it uses less digits than its factorization.

120990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 120990000 is about 10999.5454451536. The cubic root of 120990000 is about 494.5951183642.

The spelling of 120990000 in words is "one hundred twenty million, nine hundred ninety thousand".