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121104072 = 2334186889
BaseRepresentation
bin1110011011111…
…10011011001000
322102212201120000
413031332123020
5222000312242
620003403000
73000240045
oct715763310
9272781500
10121104072
11623a6311
1234683460
131c12261b
14121261cc
15a972a4c
hex737e6c8

121104072 has 40 divisors (see below), whose sum is σ = 339205350. Its totient is φ = 40367808.

The previous prime is 121104031. The next prime is 121104079. The reversal of 121104072 is 270401121.

It can be written as a sum of positive squares in only one way, i.e., 119377476 + 1726596 = 10926^2 + 1314^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121104079) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 92797 + ... + 94092.

Almost surely, 2121104072 is an apocalyptic number.

121104072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121104072 is an abundant number, since it is smaller than the sum of its proper divisors (218101278).

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

121104072 is a wasteful number, since it uses less digits than its factorization.

121104072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186907 (or 186894 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 121104072 is about 11004.7295287072. The cubic root of 121104072 is about 494.7505078798.

Adding to 121104072 its reverse (270401121), we get a palindrome (391505193).

The spelling of 121104072 in words is "one hundred twenty-one million, one hundred four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 186889 373778 560667 747556 1121334 1495112 1682001 2242668 3364002 4485336 5046003 6728004 10092006 13456008 15138009 20184012 30276018 40368024 60552036 121104072