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212120012122100 = 225223173533098799
BaseRepresentation
bin110000001110110000001001…
…111110001110011111110100
31000211001110211100200122020222
4300032300021332032133310
5210300333241100401400
62031050331023513512
762452110433461035
oct6016601176163764
91024043740618228
10212120012122100
1161651656981835
121b95a342a58898
139148aa651b564
143a549403c2a8c
15197cadd05c185
hexc0ec09f8e7f4

212120012122100 has 72 divisors (see below), whose sum is σ = 483089867769600. Its totient is φ = 80689834065280.

The previous prime is 212120012122097. The next prime is 212120012122129. The reversal of 212120012122100 is 1221210021212.

It is a congruent number.

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, 266151500 + ... + 266947299.

It is an arithmetic number, because the mean of its divisors is an integer number (6709581496800).

Almost surely, 2212120012122100 is an apocalyptic number.

212120012122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120012122100 is an abundant number, since it is smaller than the sum of its proper divisors (270969855647500).

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

212120012122100 is a wasteful number, since it uses less digits than its factorization.

212120012122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533099009 (or 533099002 counting only the distinct ones).

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

Adding to 212120012122100 its reverse (1221210021212), we get a palindrome (213341222143312).

The spelling of 212120012122100 in words is "two hundred twelve trillion, one hundred twenty billion, twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 173 230 346 460 575 692 865 1150 1730 2300 3460 3979 4325 7958 8650 15916 17300 19895 39790 79580 99475 198950 397900 533098799 1066197598 2132395196 2665493995 5330987990 10661975980 12261272377 13327469975 24522544754 26654939950 49045089508 53309879900 61306361885 92226092227 122612723770 184452184454 245225447540 306531809425 368904368908 461130461135 613063618850 922260922270 1226127237700 1844521844540 2121200121221 2305652305675 4242400242442 4611304611350 8484800484884 9222609222700 10606000606105 21212001212210 42424002424420 53030003030525 106060006061050 212120012122100