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2121012202000 = 245343110972243
BaseRepresentation
bin11110110111010110001…
…011011100101000010000
321111202200222122122120111
4132313112023130220100
5234222313110431000
64302213552251104
7306144442151506
oct36672613345020
97452628578514
102121012202000
1174857510328a
122a3096840a94
1312501a36b823
147492c3dc676
153a28bc74cba
hex1edd62dca10

2121012202000 has 160 divisors (see below), whose sum is σ = 5147486682624. Its totient is φ = 845287808000.

The previous prime is 2121012201989. The next prime is 2121012202073. The reversal of 2121012202000 is 2022101212.

It is a happy number.

It is a super-2 number, since 2×21210122020002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945612879 + ... + 945615121.

Almost surely, 22121012202000 is an apocalyptic number.

2121012202000 is a gapful number since it is divisible by the number (20) 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 2121012202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573743341312).

2121012202000 is an abundant number, since it is smaller than the sum of its proper divisors (3026474480624).

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

2121012202000 is a wasteful number, since it uses less digits than its factorization.

2121012202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3778 counting only the distinct ones).

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

Adding to 2121012202000 its reverse (2022101212), we get a palindrome (2123034303212).

The spelling of 2121012202000 in words is "two trillion, one hundred twenty-one billion, twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 431 500 862 1000 1097 1724 2000 2155 2194 2243 3448 4310 4388 4486 5485 6896 8620 8776 8972 10775 10970 11215 17240 17552 17944 21550 21940 22430 27425 34480 35888 43100 43880 44860 53875 54850 56075 86200 87760 89720 107750 109700 112150 137125 172400 179440 215500 219400 224300 274250 280375 431000 438800 448600 472807 548500 560750 862000 897200 945614 966733 1097000 1121500 1891228 1933466 2194000 2243000 2364035 2460571 3782456 3866932 4486000 4728070 4833665 4921142 7564912 7733864 9456140 9667330 9842284 11820175 12302855 15467728 18912280 19334660 19684568 23640350 24168325 24605710 37824560 38669320 39369136 47280700 48336650 49211420 59100875 61514275 77338640 94561400 96673300 98422840 118201750 120841625 123028550 189122800 193346600 196845680 236403500 241683250 246057100 307571375 386693200 472807000 483366500 492114200 615142750 945614000 966733000 984228400 1060506101 1230285500 1933466000 2121012202 2460571000 4242024404 4921142000 5302530505 8484048808 10605061010 16968097616 21210122020 26512652525 42420244040 53025305050 84840488080 106050610100 132563262625 212101220200 265126525250 424202440400 530253050500 1060506101000 2121012202000