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12200220011100 = 22352113697036367
BaseRepresentation
bin1011000110001001010111…
…0001111010101001011100
31121012022220022100111210010
42301202111301322221130
53044342022310323400
641540411555443220
72366302553020212
oct261422561725134
947168808314703
1012200220011100
1139840a2156660
121450598bb6510
136a6625481534
143026cadb0cb2
15162550853450
hexb1895c7aa5c

12200220011100 has 72 divisors (see below), whose sum is σ = 38508330809088. Its totient is φ = 2957629092800.

The previous prime is 12200220011087. The next prime is 12200220011113. The reversal of 12200220011100 is 111002200221.

12200220011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12200220011087) and next prime (12200220011113).

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

It is a congruent number.

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, 1848514884 + ... + 1848521483.

It is an arithmetic number, because the mean of its divisors is an integer number (534837927904).

Almost surely, 212200220011100 is an apocalyptic number.

12200220011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200220011100 is an abundant number, since it is smaller than the sum of its proper divisors (26308110797988).

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

12200220011100 is a wasteful number, since it uses less digits than its factorization.

12200220011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697036395 (or 3697036388 counting only the distinct ones).

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

Adding to 12200220011100 its reverse (111002200221), we get a palindrome (12311222211321).

It can be divided in two parts, 122002 and 20011100, that added together give a palindrome (20133102).

The spelling of 12200220011100 in words is "twelve trillion, two hundred billion, two hundred twenty million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3697036367 7394072734 11091109101 14788145468 18485181835 22182218202 36970363670 40667400037 44364436404 55455545505 73940727340 81334800074 92425909175 110911091010 122002200111 162669600148 184851818350 203337000185 221822182020 244004400222 277277727525 369703636700 406674000370 488008800444 554555455050 610011000555 813348000740 1016685000925 1109110910100 1220022001110 2033370001850 2440044002220 3050055002775 4066740003700 6100110005550 12200220011100