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12220011201012 = 22313125730247253
BaseRepresentation
bin1011000111010011000101…
…1011010100000111110100
31121021012222120222010102220
42301310301123110013310
53100203040331413022
641553443505402340
72400603161244306
oct261646133240764
947235876863386
1012220011201012
11399152882555a
1214543a10393b0
136a845a808ab4
1430364765d976
15162d0d0c485c
hexb1d316d41f4

12220011201012 has 48 divisors (see below), whose sum is σ = 28842813502272. Its totient is φ = 4026514186240.

The previous prime is 12220011201001. The next prime is 12220011201019. The reversal of 12220011201012 is 21010211002221.

12220011201012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12220011200982 and 12220011201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220011201019) 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, 14719623 + ... + 15527630.

It is an arithmetic number, because the mean of its divisors is an integer number (600891947964).

Almost surely, 212220011201012 is an apocalyptic number.

12220011201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220011201012 is an abundant number, since it is smaller than the sum of its proper divisors (16622802301260).

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

12220011201012 is a wasteful number, since it uses less digits than its factorization.

12220011201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30247648 (or 30247646 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12220011201012 its reverse (21010211002221), we get a palindrome (33230222203233).

The spelling of 12220011201012 in words is "twelve trillion, two hundred twenty billion, eleven million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 131 257 262 393 514 524 771 786 1028 1542 1572 3084 33667 67334 101001 134668 202002 404004 30247253 60494506 90741759 120989012 181483518 362967036 3962390143 7773544021 7924780286 11887170429 15547088042 15849560572 23320632063 23774340858 31094176084 46641264126 47548681716 93282528252 1018334266751 2036668533502 3055002800253 4073337067004 6110005600506 12220011201012