Search a number
-
+
12201311300000 = 2555122013113
BaseRepresentation
bin1011000110001101011011…
…0100110110100110100000
31121012102201100210201201112
42301203112310312212200
53044401241143100000
641541112141522452
72366341603562414
oct261432664664640
947172640721645
1012201311300000
113984602161109
121450842573428
136a676a5a2204
14302791cc2d44
151625b6568235
hexb18d6d369a0

12201311300000 has 72 divisors (see below), whose sum is σ = 30024743066892. Its totient is φ = 4880524480000.

The previous prime is 12201311299979. The next prime is 12201311300011. The reversal of 12201311300000 is 311310221.

It can be written as a sum of positive squares in 6 ways, for example, as 2139701923984 + 10061609376016 = 1462772^2 + 3172004^2 .

It is a super-3 number, since 3×122013113000003 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60906557 + ... + 61106556.

Almost surely, 212201311300000 is an apocalyptic number.

12201311300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201311300000 is an abundant number, since it is smaller than the sum of its proper divisors (17823431766892).

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

12201311300000 is an frugal number, since it uses more digits than its factorization.

12201311300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122013148 (or 122013120 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12201311300000 its reverse (311310221), we get a palindrome (12201622610221).

The spelling of 12201311300000 in words is "twelve trillion, two hundred one billion, three hundred eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 122013113 244026226 488052452 610065565 976104904 1220131130 1952209808 2440262260 3050327825 3904419616 4880524520 6100655650 9761049040 12201311300 15251639125 19522098080 24402622600 30503278250 48805245200 61006556500 76258195625 97610490400 122013113000 152516391250 244026226000 305032782500 381290978125 488052452000 610065565000 762581956250 1220131130000 1525163912500 2440262260000 3050327825000 6100655650000 12201311300000