Search a number
-
+
12202000012212 = 22322335141129757
BaseRepresentation
bin1011000110001111111111…
…1000000101001110110100
31121012111111100201221021020
42301203333320011032310
53044404144000342322
641541304343221140
72366364635541633
oct261437770051664
947174440657236
1012202000012212
1139849259a085a
1214509b51477b0
136a684a18b82a
1430281955d51a
15162606c5b05c
hexb18ffe053b4

12202000012212 has 48 divisors (see below), whose sum is σ = 28600041748992. Its totient is φ = 4048947745920.

The previous prime is 12202000012201. The next prime is 12202000012247. The reversal of 12202000012212 is 21221000020221.

It is a junction number, because it is equal to n+sod(n) for n = 12202000012191 and 12202000012200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93972438 + ... + 94102194.

It is an arithmetic number, because the mean of its divisors is an integer number (595834203104).

Almost surely, 212202000012212 is an apocalyptic number.

12202000012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12202000012212 is an abundant number, since it is smaller than the sum of its proper divisors (16398041736780).

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

12202000012212 is a wasteful number, since it uses less digits than its factorization.

12202000012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165128 (or 165126 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12202000012212 its reverse (21221000020221), we get a palindrome (33423000032433).

The spelling of 12202000012212 in words is "twelve trillion, two hundred two billion, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 223 446 669 892 1338 2676 35141 70282 105423 129757 140564 210846 259514 389271 421692 519028 778542 1557084 7836443 15672886 23509329 28935811 31345772 47018658 57871622 86807433 94037316 115743244 173614866 347229732 4559790737 9119581474 13679372211 18239162948 27358744422 54717488844 1016833334351 2033666668702 3050500003053 4067333337404 6101000006106 12202000012212