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120198912 = 283532953
BaseRepresentation
bin1110010101000…
…01011100000000
322101011201220120
413022201130000
5221232331122
615532140240
72656450101
oct712413400
9271151816
10120198912
1161938249
1234307680
131bb96622
1411d6c3a8
15a84475c
hex72a1700

120198912 has 72 divisors (see below), whose sum is σ = 326050704. Its totient is φ = 39297024.

The previous prime is 120198907. The next prime is 120198917. The reversal of 120198912 is 219891021.

It is an interprime number because it is at equal distance from previous prime (120198907) and next prime (120198917).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120198917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39228 + ... + 42180.

It is an arithmetic number, because the mean of its divisors is an integer number (4528482).

Almost surely, 2120198912 is an apocalyptic number.

120198912 is a gapful number since it is divisible by the number (12) 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 120198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163025352).

120198912 is an abundant number, since it is smaller than the sum of its proper divisors (205851792).

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

120198912 is an equidigital number, since it uses as much as digits as its factorization.

120198912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 120198912 is about 10963.5264399736. The cubic root of 120198912 is about 493.5147972967.

The spelling of 120198912 in words is "one hundred twenty million, one hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 2953 3392 5088 5906 6784 8859 10176 11812 13568 17718 20352 23624 35436 40704 47248 70872 94496 141744 156509 188992 283488 313018 377984 469527 566976 626036 755968 939054 1133952 1252072 1878108 2267904 2504144 3756216 5008288 7512432 10016576 15024864 20033152 30049728 40066304 60099456 120198912