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2127121040 = 2451111321391
BaseRepresentation
bin111111011001001…
…0100101010010000
312111020112221111202
41332302110222100
513324020333130
6551023330332
7103466142032
oct17662245220
95436487452
102127121040
119a1782580
124b44509a8
1327b8c5605
14162709c52
15c6b23145
hex7ec94a90

2127121040 has 80 divisors (see below), whose sum is σ = 5443151616. Its totient is φ = 766617600.

The previous prime is 2127121013. The next prime is 2127121043. The reversal of 2127121040 is 401217212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2127121043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88745 + ... + 110135.

Almost surely, 22127121040 is an apocalyptic number.

2127121040 is a gapful number since it is divisible by the number (20) 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 2127121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721575808).

2127121040 is an abundant number, since it is smaller than the sum of its proper divisors (3316030576).

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

2127121040 is a wasteful number, since it uses less digits than its factorization.

2127121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21528 (or 21522 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2127121040 is about 46120.7224574811. The cubic root of 2127121040 is about 1286.0684014129.

Adding to 2127121040 its reverse (401217212), we get a palindrome (2528338252).

The spelling of 2127121040 in words is "two billion, one hundred twenty-seven million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 440 452 565 880 904 1130 1243 1808 2260 2486 4520 4972 6215 9040 9944 12430 19888 21391 24860 42782 49720 85564 99440 106955 171128 213910 235301 342256 427820 470602 855640 941204 1176505 1711280 1882408 2353010 2417183 3764816 4706020 4834366 9412040 9668732 12085915 18824080 19337464 24171830 26589013 38674928 48343660 53178026 96687320 106356052 132945065 193374640 212712104 265890130 425424208 531780260 1063560520 2127121040