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122220200002000 = 2453270742415323
BaseRepresentation
bin11011110010100010011011…
…100110110000000111010000
3121000202010200212202222211011
4123302202123212300013100
5112004423432200031000
61111535103524100304
734513055330626312
oct3362423346600720
9530663625688734
10122220200002000
1135a41328699721
121185b115834694
135327413c42cc9
1422276bc6a97b2
15e1e36417d2ba
hex6f289b9b01d0

122220200002000 has 160 divisors (see below), whose sum is σ = 295762877714304. Its totient is φ = 48849318144000.

The previous prime is 122220200001997. The next prime is 122220200002007. The reversal of 122220200002000 is 200002022221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220200002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22960771339 + ... + 22960776661.

Almost surely, 2122220200002000 is an apocalyptic number.

122220200002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220200002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147881438857152).

122220200002000 is an abundant number, since it is smaller than the sum of its proper divisors (173542677712304).

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

122220200002000 is a wasteful number, since it uses less digits than its factorization.

122220200002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12294 (or 12278 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 122220200002000 its reverse (200002022221), we get a palindrome (122420202024221).

The spelling of 122220200002000 in words is "one hundred twenty-two trillion, two hundred twenty billion, two hundred million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2707 4241 5323 5414 8482 10646 10828 13535 16964 21205 21292 21656 26615 27070 33928 42410 42584 43312 53230 54140 67675 67856 84820 85168 106025 106460 108280 133075 135350 169640 212050 212920 216560 266150 270700 338375 339280 424100 425840 530125 532300 541400 665375 676750 848200 1060250 1064600 1082800 1330750 1353500 1696400 2120500 2129200 2661500 2707000 4241000 5323000 5414000 8482000 10646000 11480387 14409361 22574843 22960774 28818722 45149686 45921548 57401935 57637444 72046805 90299372 91843096 112874215 114803870 115274888 144093610 180598744 183686192 225748430 229607740 230549776 287009675 288187220 360234025 361197488 451496860 459215480 564371075 574019350 576374440 720468050 902993720 918430960 1128742150 1148038700 1152748880 1435048375 1440936100 1801170125 1805987440 2257484300 2296077400 2821855375 2870096750 2881872200 3602340250 4514968600 4592154800 5643710750 5740193500 5763744400 7204680500 9029937200 11287421500 11480387000 14409361000 22574843000 22960774000 28818722000 45149686000 61110100001 122220200002 244440400004 305550500005 488880800008 611101000010 977761600016 1222202000020 1527752500025 2444404000040 3055505000050 4888808000080 6111010000100 7638762500125 12222020000200 15277525000250 24444040000400 30555050000500 61110100001000 122220200002000