Search a number
-
+
121201200102000 = 2435352138771977
BaseRepresentation
bin11011100011101101011010…
…011110100111101001110000
3120220010201111000200122101010
4123203231122132213221300
5111341230024211231000
61105435021311510520
734346332503451644
oct3343553236475160
9526121430618333
10121201200102000
113568915a826737
1211715730828440
1352822bb5433b5
1421d0252b12c24
15e02ac489bd50
hex6e3b5a7a7a70

121201200102000 has 160 divisors (see below), whose sum is σ = 391502684349504. Its totient is φ = 32258284032000.

The previous prime is 121201200101983. The next prime is 121201200102007. The reversal of 121201200102000 is 201002102121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201200102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16259989 + ... + 22511988.

Almost surely, 2121201200102000 is an apocalyptic number.

121201200102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121201200102000 is an abundant number, since it is smaller than the sum of its proper divisors (270301484247504).

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

121201200102000 is a wasteful number, since it uses less digits than its factorization.

121201200102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38772524 (or 38772508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121201200102000 its reverse (201002102121), we get a palindrome (121402202204121).

The spelling of 121201200102000 in words is "one hundred twenty-one trillion, two hundred one billion, two hundred million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 521 600 750 1000 1042 1200 1500 1563 2000 2084 2605 3000 3126 4168 5210 6000 6252 7815 8336 10420 12504 13025 15630 20840 25008 26050 31260 39075 41680 52100 62520 65125 78150 104200 125040 130250 156300 195375 208400 260500 312600 390750 521000 625200 781500 1042000 1563000 3126000 38771977 77543954 116315931 155087908 193859885 232631862 310175816 387719770 465263724 581579655 620351632 775439540 930527448 969299425 1163159310 1550879080 1861054896 1938598850 2326318620 2907898275 3101758160 3877197700 4652637240 4846497125 5815796550 7754395400 9305274480 9692994250 11631593100 14539491375 15508790800 19385988500 20200200017 23263186200 29078982750 38771977000 40400400034 46526372400 58157965500 60600600051 77543954000 80800800068 101001000085 116315931000 121201200102 161601600136 202002000170 232631862000 242402400204 303003000255 323203200272 404004000340 484804800408 505005000425 606006000510 808008000680 969609600816 1010010000850 1212012001020 1515015001275 1616016001360 2020020001700 2424024002040 2525025002125 3030030002550 4040040003400 4848048004080 5050050004250 6060060005100 7575075006375 8080080006800 10100100008500 12120120010200 15150150012750 20200200017000 24240240020400 30300300025500 40400400034000 60600600051000 121201200102000