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122221022132 = 221122359379491
BaseRepresentation
bin111000111010011110…
…0001100101110110100
3102200110210102020002102
41301310330030232310
54000302040202012
6132051512401232
711554515355406
oct1616474145664
9380423366072
10122221022132
1147919642a00
121b82b6a6218
13b6aa399451
145cb62d6b76
1532a4e762c2
hex1c74f0cbb4

122221022132 has 144 divisors (see below), whose sum is σ = 250646054400. Its totient is φ = 51994958400.

The previous prime is 122221022117. The next prime is 122221022149. The reversal of 122221022132 is 231220122221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248922407 + ... + 248922897.

It is an arithmetic number, because the mean of its divisors is an integer number (1740597600).

Almost surely, 2122221022132 is an apocalyptic number.

It is an amenable number.

122221022132 is an abundant number, since it is smaller than the sum of its proper divisors (128425032268).

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

122221022132 is a wasteful number, since it uses less digits than its factorization.

122221022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122221022132 its reverse (231220122221), we get a palindrome (353441144353).

The spelling of 122221022132 in words is "one hundred twenty-two billion, two hundred twenty-one million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 23 44 46 59 92 118 121 236 242 253 379 484 491 506 649 758 982 1012 1298 1357 1516 1964 2596 2714 2783 4169 5401 5428 5566 7139 8338 8717 10802 11132 11293 14278 14927 16676 17434 21604 22361 22586 28556 28969 29854 34868 44722 45172 45859 57938 59411 59708 89444 91718 95887 115876 118822 124223 164197 183436 186089 191774 237644 245971 248446 318659 328394 372178 383548 491942 496892 514303 637318 656788 666287 744356 983884 1028606 1054757 1274636 1332574 1366453 2046979 2057212 2109514 2665148 2705681 2732906 3505249 4093958 4219028 4280047 5411362 5465812 5657333 7010498 7329157 8187916 8560094 10822724 10979251 11314666 14020996 14658314 17120188 21958502 22516769 22629332 29316628 43917004 45033538 47080517 62230663 80620727 90067076 94161034 120771761 124461326 161241454 188322068 241543522 248922652 252522773 322482908 483087044 505045546 517885687 1010091092 1035771374 1328489371 2071542748 2656978742 2777750503 5313957484 5555501006 11111002012 30555255533 61110511066 122221022132