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122166452120 = 235293971291
BaseRepresentation
bin111000111000110110…
…0000001111110011000
3102200022222201210002212
41301301230001332120
54000144102431440
6132042243014252
711553253465226
oct1616154017630
9380288653085
10122166452120
11478a0860719
121b81536a388
13b69bca0bbb
145cacd6db16
1532a0297465
hex1c71b01f98

122166452120 has 128 divisors (see below), whose sum is σ = 287848814400. Its totient is φ = 46658949120.

The previous prime is 122166452003. The next prime is 122166452129. The reversal of 122166452120 is 21254661221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122166452129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94628675 + ... + 94629965.

Almost surely, 2122166452120 is an apocalyptic number.

122166452120 is a gapful number since it is divisible by the number (10) 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 122166452120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143924407200).

122166452120 is an abundant number, since it is smaller than the sum of its proper divisors (165682362280).

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

122166452120 is an equidigital number, since it uses as much as digits as its factorization.

122166452120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 122166452120 in words is "one hundred twenty-two billion, one hundred sixty-six million, four hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 97 116 145 194 232 290 388 485 580 776 841 970 1160 1291 1682 1940 2582 2813 3364 3880 4205 5164 5626 6455 6728 8410 10328 11252 12910 14065 16820 22504 24389 25820 28130 33640 37439 48778 51640 56260 74878 81577 97556 112520 121945 125227 149756 163154 187195 195112 243890 250454 299512 326308 374390 407885 487780 500908 626135 652616 748780 815770 975560 1001816 1085731 1252270 1497560 1631540 2171462 2365733 2504540 3263080 3631583 4342924 4731466 5009080 5428655 7263166 8685848 9462932 10857310 11828665 14526332 18157915 18925864 21714620 23657330 29052664 31486199 36315830 43429240 47314660 62972398 72631660 94629320 105315907 125944796 145263320 157430995 210631814 251889592 314861990 421263628 526579535 629723980 842527256 1053159070 1259447960 2106318140 3054161303 4212636280 6108322606 12216645212 15270806515 24433290424 30541613030 61083226060 122166452120