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122011022012012 = 227212721292302309
BaseRepresentation
bin11011101111011111100111…
…101000000010111001101100
3121000000010202220111002221122
4123233133213220002321230
5111443012033113341022
61111255031213520112
734462001603224100
oct3357374750027154
9530003686432848
10122011022012012
1135970647117831
12118266784a3038
135310789324833
14221b5176bd900
15e18bc00be742
hex6ef7e7a02e6c

122011022012012 has 72 divisors (see below), whose sum is σ = 250453017561600. Its totient is φ = 51854312111616.

The previous prime is 122011022011961. The next prime is 122011022012027. The reversal of 122011022012012 is 210210220110221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51843914 + ... + 54146222.

It is an arithmetic number, because the mean of its divisors is an integer number (3478514132800).

Almost surely, 2122011022012012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122011022012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125226508780800).

122011022012012 is an abundant number, since it is smaller than the sum of its proper divisors (128441995549588).

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

122011022012012 is a wasteful number, since it uses less digits than its factorization.

122011022012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304583 (or 2304574 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122011022012012 its reverse (210210220110221), we get a palindrome (332221242122233).

The spelling of 122011022012012 in words is "one hundred twenty-two trillion, eleven billion, twenty-two million, twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 127 196 254 508 889 1778 2129 3556 4258 6223 8516 12446 14903 24892 29806 59612 104321 208642 270383 417284 540766 1081532 1892681 2302309 3785362 4604618 7570724 9209236 13248767 16116163 26497534 32232326 52995068 64464652 112813141 225626282 292393243 451252564 584786486 1169572972 2046752701 4093505402 4901615861 8187010804 9803231722 14327268907 19606463444 28654537814 34311311027 57309075628 68622622054 137245244108 240179177189 480358354378 622505214347 960716708756 1245010428694 2490020857388 4357536500429 8715073000858 17430146001716 30502755503003 61005511006006 122011022012012