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12096972 = 22331011109
BaseRepresentation
bin101110001001…
…010111001100
3211202120221000
4232021113030
511044100342
61111140300
7204552066
oct56112714
924676830
1012096972
1169126a8
124074690
132677194
14186c736
1510de44c
hexb895cc

12096972 has 48 divisors (see below), whose sum is σ = 31701600. Its totient is φ = 3988800.

The previous prime is 12096943. The next prime is 12096991. The reversal of 12096972 is 27969021.

12096972 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10354 + ... + 11462.

It is an arithmetic number, because the mean of its divisors is an integer number (660450).

Almost surely, 212096972 is an apocalyptic number.

12096972 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 12096972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850800).

12096972 is an abundant number, since it is smaller than the sum of its proper divisors (19604628).

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

12096972 is a wasteful number, since it uses less digits than its factorization.

12096972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12096972 is about 3478.0701545541. The cubic root of 12096972 is about 229.5578904754.

The spelling of 12096972 in words is "twelve million, ninety-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1109 1212 1818 2218 2727 3327 3636 4436 5454 6654 9981 10908 13308 19962 29943 39924 59886 112009 119772 224018 336027 448036 672054 1008081 1344108 2016162 3024243 4032324 6048486 12096972