Search a number
-
+
122010101201120 = 25511130035331379
BaseRepresentation
bin11011101111011110110000…
…101111011011100011100000
3121000000001101201211001212112
4123233132300233123203200
5111443003141401413440
61111254400001414452
734461640022401166
oct3357366057334340
9530001351731775
10122010101201120
11359702143709a0
121182646003a428
135310670622912
14221b46b2a7236
15e18b69331965
hex6ef7b0bdb8e0

122010101201120 has 96 divisors (see below), whose sum is σ = 314477548398720. Its totient is φ = 44363889123840.

The previous prime is 122010101201119. The next prime is 122010101201123. The reversal of 122010101201120 is 21102101010221.

It is a junction number, because it is equal to n+sod(n) for n = 122010101201095 and 122010101201104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010101201123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20219591 + ... + 25550969.

It is an arithmetic number, because the mean of its divisors is an integer number (3275807795820).

Almost surely, 2122010101201120 is an apocalyptic number.

122010101201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010101201120 is an abundant number, since it is smaller than the sum of its proper divisors (192467447197600).

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

122010101201120 is a wasteful number, since it uses less digits than its factorization.

122010101201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344408 (or 5344400 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122010101201120 its reverse (21102101010221), we get a palindrome (143112202211341).

The spelling of 122010101201120 in words is "one hundred twenty-two trillion, ten billion, one hundred one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 13003 26006 52012 65015 104024 130030 143033 208048 260060 286066 416096 520120 572132 715165 1040240 1144264 1430330 2080480 2288528 2860660 4577056 5331379 5721320 10662758 11442640 21325516 22885280 26656895 42651032 53313790 58645169 85302064 106627580 117290338 170604128 213255160 234580676 293225845 426510320 469161352 586451690 853020640 938322704 1172903380 1876645408 2345806760 4691613520 9383227040 69323921137 138647842274 277295684548 346619605685 554591369096 693239211370 762563132507 1109182738192 1386478422740 1525126265014 2218365476384 2772956845480 3050252530028 3812815662535 5545913690960 6100505060056 7625631325070 11091827381920 12201010120112 15251262650140 24402020240224 30502525300280 61005050600560 122010101201120