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120191216 = 2431443547
BaseRepresentation
bin1110010100111…
…11100011110000
322101011100100112
413022133203300
5221232104331
615532040452
72656415465
oct712374360
9271140315
10120191216
1161932492
1234303128
131bb92c82
1411d6966c
15a84232b
hex729f8f0

120191216 has 40 divisors (see below), whose sum is σ = 241365504. Its totient is φ = 57919680.

The previous prime is 120191209. The next prime is 120191243. The reversal of 120191216 is 612191021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120191191 and 120191200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219455 + ... + 220001.

Almost surely, 2120191216 is an apocalyptic number.

120191216 is a gapful number since it is divisible by the number (16) 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 120191216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120682752).

120191216 is an abundant number, since it is smaller than the sum of its proper divisors (121174288).

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

120191216 is a wasteful number, since it uses less digits than its factorization.

120191216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 120191216 is about 10963.1754523952. The cubic root of 120191216 is about 493.5042642814.

The spelling of 120191216 in words is "one hundred twenty million, one hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 443 496 547 886 1094 1772 2188 3544 4376 7088 8752 13733 16957 27466 33914 54932 67828 109864 135656 219728 242321 271312 484642 969284 1938568 3877136 7511951 15023902 30047804 60095608 120191216