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121020122120 = 23523791665109
BaseRepresentation
bin111000010110101011…
…1001000010000001000
3102120101002201011222012
41300231113020100020
53440322122401440
6131332413115052
711512664031242
oct1605527102010
9376332634865
10121020122120
1147362781a57
121b555488a88
13b54864b421
145c00a11092
15323480de65
hex1c2d5c8408

121020122120 has 64 divisors (see below), whose sum is σ = 287731008000. Its totient is φ = 45717205248.

The previous prime is 121020122081. The next prime is 121020122123. The reversal of 121020122120 is 21221020121.

121020122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121020122095 and 121020122104.

It is not an unprimeable number, because it can be changed into a prime (121020122123) 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, 759875 + ... + 905234.

It is an arithmetic number, because the mean of its divisors is an integer number (4495797000).

Almost surely, 2121020122120 is an apocalyptic number.

121020122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020122120 is an abundant number, since it is smaller than the sum of its proper divisors (166710885880).

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

121020122120 is a wasteful number, since it uses less digits than its factorization.

121020122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665222 (or 1665218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121020122120 its reverse (21221020121), we get a palindrome (142241142241).

It can be divided in two parts, 1210201 and 22120, that added together give a palindrome (1232321).

The spelling of 121020122120 in words is "one hundred twenty-one billion, twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 184 230 316 395 460 632 790 920 1580 1817 3160 3634 7268 9085 14536 18170 36340 72680 1665109 3330218 6660436 8325545 13320872 16651090 33302180 38297507 66604360 76595014 131543611 153190028 191487535 263087222 306380056 382975070 526174444 657718055 765950140 1052348888 1315436110 1531900280 2630872220 3025503053 5261744440 6051006106 12102012212 15127515265 24204024424 30255030530 60510061060 121020122120