Search a number
-
+
12002120220020 = 225731749580207
BaseRepresentation
bin1010111010100111011000…
…0111001011110101110100
31120111101120101122102212212
42232221312013023311310
53033120320234020040
641305410425432552
72346060504413000
oct256516607136564
946441511572785
1012002120220020
113908085a73557
12141a11193b758
13690a44a3a048
142d6c9740d700
1515c30912dd65
hexaea761cbd74

12002120220020 has 48 divisors (see below), whose sum is σ = 29392947494400. Its totient is φ = 4115012644512.

The previous prime is 12002120219989. The next prime is 12002120220049. The reversal of 12002120220020 is 2002202120021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12002120219977 and 12002120220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874783244 + ... + 874796963.

It is an arithmetic number, because the mean of its divisors is an integer number (612353072800).

Almost surely, 212002120220020 is an apocalyptic number.

12002120220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002120220020 is an abundant number, since it is smaller than the sum of its proper divisors (17390827274380).

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

12002120220020 is a wasteful number, since it uses less digits than its factorization.

12002120220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749580237 (or 1749580221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12002120220020 its reverse (2002202120021), we get a palindrome (14004322340041).

The spelling of 12002120220020 in words is "twelve trillion, two billion, one hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 1749580207 3499160414 6998320828 8747901035 12247061449 17495802070 24494122898 34991604140 48988245796 61235307245 85729430143 122470614490 171458860286 244941228980 342917720572 428647150715 600106011001 857294301430 1200212022002 1714588602860 2400424044004 3000530055005 6001060110010 12002120220020