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120141120 = 26351131367
BaseRepresentation
bin1110010100100…
…11010101000000
322101001210122010
413022103111000
5221224003440
615531012520
72656116441
oct712232500
9271053563
10120141120
11618a8890
123429a140
131bb76228
1411d552c8
15a832580
hex7293540

120141120 has 224 divisors, whose sum is σ = 430718976. Its totient is φ = 28108800.

The previous prime is 120141053. The next prime is 120141143. The reversal of 120141120 is 21141021.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 120141096 and 120141105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327177 + ... + 327543.

Almost surely, 2120141120 is an apocalyptic number.

120141120 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 120141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215359488).

120141120 is an abundant number, since it is smaller than the sum of its proper divisors (310577856).

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

120141120 is a wasteful number, since it uses less digits than its factorization.

120141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 120141120 is about 10960.8904747744. The cubic root of 120141120 is about 493.4356901486.

Adding to 120141120 its reverse (21141021), we get a palindrome (141282141).

Subtracting from 120141120 its reverse (21141021), we obtain a palindrome (99000099).

The spelling of 120141120 in words is "one hundred twenty million, one hundred forty-one thousand, one hundred twenty".