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121387072 = 2617315961
BaseRepresentation
bin1110011110000…
…11100001000000
322110102002202111
413033003201000
5222033341242
620013425104
73002526112
oct717034100
9273362674
10121387072
11625799a4
123479b194
131c1c1391
141219b3b2
15a9cb817
hex73c3840

121387072 has 112 divisors (see below), whose sum is σ = 272125440. Its totient is φ = 53452800.

The previous prime is 121387043. The next prime is 121387081. The reversal of 121387072 is 270783121.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 15 ways as a sum of consecutive naturals, for example, 1989922 + ... + 1989982.

Almost surely, 2121387072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

121387072 is an abundant number, since it is smaller than the sum of its proper divisors (150738368).

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

121387072 is a wasteful number, since it uses less digits than its factorization.

121387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 121387072 is about 11017.5801335865. The cubic root of 121387072 is about 495.1355911925.

The spelling of 121387072 in words is "one hundred twenty-one million, three hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 17 31 32 34 59 61 62 64 68 118 122 124 136 236 244 248 272 472 488 496 527 544 944 976 992 1003 1037 1054 1088 1829 1888 1891 1952 1984 2006 2074 2108 3599 3658 3776 3782 3904 4012 4148 4216 7198 7316 7564 8024 8296 8432 14396 14632 15128 16048 16592 16864 28792 29264 30256 31093 32096 32147 33184 33728 57584 58528 60512 61183 62186 64192 64294 66368 111569 115168 117056 121024 122366 124372 128588 223138 230336 244732 248744 257176 446276 489464 497488 514352 892552 978928 994976 1028704 1785104 1896673 1957856 1989952 2057408 3570208 3793346 3915712 7140416 7586692 15173384 30346768 60693536 121387072