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12000022002100 = 22521118160271331
BaseRepresentation
bin1010111010011111100100…
…0011000111100110110100
31120111012011011110221000001
42232213321003013212310
53033102021113031400
641304422313401044
72345654506020406
oct256477103074664
946435134427001
1012000022002100
1139071a9642360
121419827109184
1369079c124392
142d6b388a8b76
1515c234d19a6a
hexae9f90c79b4

12000022002100 has 72 divisors (see below), whose sum is σ = 28564271832096. Its totient is φ = 4339535760000.

The previous prime is 12000022002071. The next prime is 12000022002107. The reversal of 12000022002100 is 120022000021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000022002107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29936566 + ... + 30334765.

It is an arithmetic number, because the mean of its divisors is an integer number (396725997668).

Almost surely, 212000022002100 is an apocalyptic number.

12000022002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000022002100 is an abundant number, since it is smaller than the sum of its proper divisors (16564249829996).

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

12000022002100 is a wasteful number, since it uses less digits than its factorization.

12000022002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60271537 (or 60271530 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000022002100 its reverse (120022000021), we get a palindrome (12120044002121).

The spelling of 12000022002100 in words is "twelve trillion, twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 181 220 275 362 550 724 905 1100 1810 1991 3620 3982 4525 7964 9050 9955 18100 19910 39820 49775 99550 199100 60271331 120542662 241085324 301356655 602713310 662984641 1205426620 1325969282 1506783275 2651938564 3013566550 3314923205 6027133100 6629846410 10909110911 13259692820 16574616025 21818221822 33149232050 43636443644 54545554555 66298464100 109091109110 120000220021 218182218220 240000440042 272727772775 480000880084 545455545550 600001100105 1090911091100 1200002200210 2400004400420 3000005500525 6000011001050 12000022002100