Search a number
-
+
12011220021000 = 233534003740007
BaseRepresentation
bin1010111011001001010010…
…0000001010111100001000
31120112021001120112020002210
42232302110200022330020
53033242434311133000
641313513414025120
72346532141430004
oct256622440127410
946467046466083
1012011220021000
113910a2562a732
12141ba313481a0
13691865091375
142d74bbba3704
1515c68ce71350
hexaec9480af08

12011220021000 has 64 divisors (see below), whose sum is σ = 37475006474880. Its totient is φ = 3202992004800.

The previous prime is 12011220020999. The next prime is 12011220021001. The reversal of 12011220021000 is 12002211021.

It is an interprime number because it is at equal distance from previous prime (12011220020999) and next prime (12011220021001).

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

It is not an unprimeable number, because it can be changed into a prime (12011220021001) 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, 2001867004 + ... + 2001873003.

It is an arithmetic number, because the mean of its divisors is an integer number (585546976170).

Almost surely, 212011220021000 is an apocalyptic number.

12011220021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011220021000 is an abundant number, since it is smaller than the sum of its proper divisors (25463786453880).

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

12011220021000 is a wasteful number, since it uses less digits than its factorization.

12011220021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003740031 (or 4003740017 counting only the distinct ones).

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

Adding to 12011220021000 its reverse (12002211021), we get a palindrome (12023222232021).

The spelling of 12011220021000 in words is "twelve trillion, eleven billion, two hundred twenty million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4003740007 8007480014 12011220021 16014960028 20018700035 24022440042 32029920056 40037400070 48044880084 60056100105 80074800140 96089760168 100093500175 120112200210 160149600280 200187000350 240224400420 300280500525 400374000700 480448800840 500467500875 600561001050 800748001400 1000935001750 1201122002100 1501402502625 2001870003500 2402244004200 3002805005250 4003740007000 6005610010500 12011220021000