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121010220201012 = 223192926037104537
BaseRepresentation
bin11011100000111011100011…
…001100000111010000110100
3120212110110112022022110112220
4123200323203030013100310
5111330112412332413022
61105211154441442340
734326462031206462
oct3340734314072064
9525413468273486
10121010220201012
113561516763441a
12116a4711aa03b0
13526a2a3bc0a1c
1421c4cd6999832
15decb4827485c
hex6e0ee3307434

121010220201012 has 144 divisors (see below), whose sum is σ = 307874328565440. Its totient is φ = 36889573561344.

The previous prime is 121010220201011. The next prime is 121010220201029. The reversal of 121010220201012 is 210102022010121.

It is a junction number, because it is equal to n+sod(n) for n = 121010220200982 and 121010220201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121010220201011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157530408 + ... + 1157634944.

Almost surely, 2121010220201012 is an apocalyptic number.

121010220201012 is a gapful number since it is divisible by the number (12) 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 121010220201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153937164282720).

121010220201012 is an abundant number, since it is smaller than the sum of its proper divisors (186864108364428).

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

121010220201012 is a wasteful number, since it uses less digits than its factorization.

121010220201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110658 (or 110627 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121010220201012 its reverse (210102022010121), we get a palindrome (331112242211133).

The spelling of 121010220201012 in words is "one hundred twenty-one trillion, ten billion, two hundred twenty million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 841 1102 1653 1682 2204 2523 3306 3364 5046 6037 6612 10092 12074 15979 18111 24148 31958 36222 47937 63916 72444 95874 104537 114703 175073 191748 209074 229406 313611 344109 350146 418148 458812 525219 627222 688218 700292 1050438 1254444 1376436 1986203 2100876 3031573 3326387 3972406 5077117 5958609 6063146 6652774 7944812 9094719 9979161 10154234 11917218 12126292 13305548 15231351 18189438 19958322 20308468 23834436 30462702 36378876 39916644 57599887 60925404 87915617 96465223 115199774 172799661 175831234 192930446 230399548 263746851 289395669 345599322 351662468 385860892 527493702 578791338 631089869 691198644 1054987404 1157582676 1262179738 1670396723 1893269607 2524359476 3340793446 3786539214 5011190169 6681586892 7573078428 10022380338 11990707511 18301606201 20044760676 23981415022 35972122533 36603212402 47962830044 54904818603 71944245066 73206424804 109809637206 143888490132 219619274412 347730517819 530746579829 695461035638 1043191553457 1061493159658 1390922071276 1592239739487 2086383106914 2122986319316 3184479478974 4172766213828 6368958957948 10084185016751 20168370033502 30252555050253 40336740067004 60505110100506 121010220201012