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121987944 = 2336131609
BaseRepresentation
bin1110100010101…
…10001101101000
322111112122000000
413101112031220
5222212103234
620034343000
73010610661
oct721261550
9274478000
10121987944
116294a391
1234a2aa60
131c371a20
14122b6368
15aa99899
hex7456368

121987944 has 112 divisors (see below), whose sum is σ = 369543300. Its totient is φ = 37511424.

The previous prime is 121987933. The next prime is 121987967. The reversal of 121987944 is 449789121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 120165444 + 1822500 = 10962^2 + 1350^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121987944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75012 + ... + 76620.

Almost surely, 2121987944 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 121987944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184771650).

121987944 is an abundant number, since it is smaller than the sum of its proper divisors (247555356).

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

121987944 is a wasteful number, since it uses less digits than its factorization.

121987944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1627 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 121987944 is about 11044.8152542268. The cubic root of 121987944 is about 495.9512287286.

The spelling of 121987944 in words is "one hundred twenty-one million, nine hundred eighty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1609 1944 2106 2808 2916 3159 3218 4212 4827 5832 6318 6436 8424 9477 9654 12636 12872 14481 18954 19308 20917 25272 28962 37908 38616 41834 43443 57924 62751 75816 83668 86886 115848 125502 130329 167336 173772 188253 251004 260658 347544 376506 390987 502008 521316 564759 753012 781974 1042632 1129518 1172961 1506024 1563948 1694277 2259036 2345922 3127896 3388554 4518072 4691844 5082831 6777108 9383688 10165662 13554216 15248493 20331324 30496986 40662648 60993972 121987944