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121122332032 = 2713644911287
BaseRepresentation
bin111000011001101110…
…1000001110110000000
3102120122020000222121111
41300303131001312000
53441024304111112
6131350503533104
711515344556312
oct1606335016600
9376566028544
10121122332032
1147405442859
121b58375a194
13b563886a70
145c104197b2
15323d79d5a7
hex1c33741d80

121122332032 has 64 divisors (see below), whose sum is σ = 259923132000. Its totient is φ = 55888994304.

The previous prime is 121122332021. The next prime is 121122332041. The reversal of 121122332032 is 230233221121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 121122331994 and 121122332012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10725493 + ... + 10736779.

Almost surely, 2121122332032 is an apocalyptic number.

It is an amenable number.

121122332032 is an abundant number, since it is smaller than the sum of its proper divisors (138800799968).

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

121122332032 is a wasteful number, since it uses less digits than its factorization.

121122332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17763 (or 17751 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 121122332032 its reverse (230233221121), we get a palindrome (351355553153).

The spelling of 121122332032 in words is "one hundred twenty-one billion, one hundred twenty-two million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 6449 11287 12898 22574 25796 45148 51592 83837 90296 103184 146731 167674 180592 206368 293462 335348 361184 412736 586924 670696 722368 825472 1173848 1341392 1444736 2347696 2682784 4695392 5365568 9390784 10731136 18781568 72789863 145579726 291159452 582318904 946268219 1164637808 1892536438 2329275616 3785072876 4658551232 7570145752 9317102464 15140291504 30280583008 60561166016 121122332032