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12001222200100 = 2252743398711701
BaseRepresentation
bin1010111010100100000010…
…0101100000101100100100
31120111022020210212022010211
42232221000211200230210
53033112000340400400
641305141350025204
72346026321362060
oct256510045405444
946438223768124
1012001222200100
113907765073931
121419b01048204
13690930987a03
142d6c1004aaa0
1515c2a5393dba
hexaea40960b24

12001222200100 has 72 divisors (see below), whose sum is σ = 30455194645568. Its totient is φ = 4019013936000.

The previous prime is 12001222200089. The next prime is 12001222200101. The reversal of 12001222200100 is 100222210021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12001222200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199325751 + ... + 199385950.

Almost surely, 212001222200100 is an apocalyptic number.

12001222200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001222200100 is an abundant number, since it is smaller than the sum of its proper divisors (18453972445468).

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

12001222200100 is a wasteful number, since it uses less digits than its factorization.

12001222200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398711765 (or 398711758 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12001222200100 its reverse (100222210021), we get a palindrome (12101444410121).

The spelling of 12001222200100 in words is "twelve trillion, one billion, two hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 2150 3010 4300 6020 7525 15050 30100 398711701 797423402 1594846804 1993558505 2790981907 3987117010 5581963814 7974234020 9967792525 11163927628 13954909535 17144603143 19935585050 27909819070 34289206286 39871170100 55819638140 68578412572 69774547675 85723015715 120012222001 139549095350 171446031430 240024444002 279098190700 342892062860 428615078575 480048888004 600061110005 857230157150 1200122220010 1714460314300 2400244440020 3000305550025 6000611100050 12001222200100