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121122020111220 = 2234574766679081
BaseRepresentation
bin11011100010100011101010…
…111110111011001101110100
3120212212011002211120100120000
4123202203222332323031310
5111333430344122024340
61105334404325511300
734340530366601532
oct3342435276731564
9525764084510500
10121122020111220
1135658618787727
1211702313572530
1352779b0278b4b
1421ca4a0c31152
15e009dd3a8d30
hex6e28eafbb374

121122020111220 has 60 divisors (see below), whose sum is σ = 379964263094724. Its totient is φ = 32299205362560.

The previous prime is 121122020111219. The next prime is 121122020111221. The reversal of 121122020111220 is 22111020221121.

121122020111220 is a `hidden beast` number, since 1 + 2 + 11 + 220 + 201 + 11 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (121122020111219) and next prime (121122020111221).

It can be written as a sum of positive squares in 2 ways, for example, as 88885901796624 + 32236118314596 = 9427932^2 + 5677686^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121122020111193 and 121122020111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122020111221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37383337921 + ... + 37383341160.

Almost surely, 2121122020111220 is an apocalyptic number.

121122020111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122020111220 is an abundant number, since it is smaller than the sum of its proper divisors (258842242983504).

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

121122020111220 is a wasteful number, since it uses less digits than its factorization.

121122020111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74766679102 (or 74766679091 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121122020111220 its reverse (22111020221121), we get a palindrome (143233040332341).

The spelling of 121122020111220 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 74766679081 149533358162 224300037243 299066716324 373833395405 448600074486 672900111729 747666790810 897200148972 1121500186215 1345800223458 1495333581620 2018700335187 2243000372430 2691600446916 3364500558645 4037400670374 4486000744860 6056101005561 6729001117290 8074801340748 10093501675935 12112202011122 13458002234580 20187003351870 24224404022244 30280505027805 40374006703740 60561010055610 121122020111220