Search a number
-
+
121032132000032 = 25111921733549607
BaseRepresentation
bin11011100001001111111101…
…001110111111100100100000
3120212112120002101020012000202
4123201033331032333210200
5111330442301243000112
61105225221023404332
734331166026344451
oct3341177516774440
9525476071205022
10121032132000032
1135623491238330
12116a8a081536a8
13526c3866a0886
1421c5db4b3b128
15ded4cbc7e6c2
hex6e13fd3bf920

121032132000032 has 144 divisors (see below), whose sum is σ = 274504147065792. Its totient is φ = 52088930634240.

The previous prime is 121032132000001. The next prime is 121032132000049. The reversal of 121032132000032 is 230000231230121.

It is a junction number, because it is equal to n+sod(n) for n = 121032131999968 and 121032132000013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219940973 + ... + 220490579.

It is an arithmetic number, because the mean of its divisors is an integer number (1906278799068).

Almost surely, 2121032132000032 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 121032132000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137252073532896).

121032132000032 is an abundant number, since it is smaller than the sum of its proper divisors (153472015065760).

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

121032132000032 is a wasteful number, since it uses less digits than its factorization.

121032132000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551399 (or 551372 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 121032132000032 its reverse (230000231230121), we get a palindrome (351032363230153).

The spelling of 121032132000032 in words is "one hundred twenty-one trillion, thirty-two billion, one hundred thirty-two million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 361 418 608 722 836 1444 1672 1733 2888 3344 3466 3971 5776 6688 6932 7942 11552 13864 15884 19063 27728 31768 32927 38126 55456 63536 65854 76252 127072 131708 152504 263416 305008 362197 526832 549607 610016 625613 724394 1053664 1099214 1251226 1448788 2198428 2502452 2897576 4396856 5004904 5795152 6045677 6881743 8793712 10009808 10442533 11590304 12091354 13763486 17587424 20019616 20885066 24182708 27526972 41770132 48365416 55053944 83540264 96730832 110107888 114867863 167080528 193461664 198408127 220215776 229735726 334161056 396816254 459471452 793632508 918942904 952468931 1587265016 1837885808 1904937862 2182489397 3174530032 3675771616 3809875724 4364978794 6349060064 7619751448 8729957588 10477158241 15239502896 17459915176 18096909689 20954316482 30479005792 34919830352 36193819378 41908632964 69839660704 72387638756 83817265928 144775277512 167634531856 199066006579 289550555024 335269063712 343841284091 398132013158 579101110048 687682568182 796264026316 1375365136364 1592528052632 2750730272728 3185056105264 3782254125001 5501460545456 6370112210528 7564508250002 11002921090912 15129016500004 30258033000008 60516066000016 121032132000032