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1212112022120 = 235291621644617
BaseRepresentation
bin10001101000110111100…
…000011010101001101000
311021212200011121120210022
4101220313200122221220
5124324401134201440
62324500411140012
7153400160122616
oct21506740325150
94255604546708
101212112022120
1142806570062a
12176ab9a44608
138a3bca120bc
1442948d866b6
15217e31d7cb5
hex11a3781aa68

1212112022120 has 64 divisors (see below), whose sum is σ = 2823040069200. Its totient is φ = 467836508160.

The previous prime is 1212112022113. The next prime is 1212112022131. The reversal of 1212112022120 is 212202112121.

It can be written as a sum of positive squares in 8 ways, for example, as 834105930436 + 378006091684 = 913294^2 + 614822^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1558052 + ... + 2202668.

Almost surely, 21212112022120 is an apocalyptic number.

1212112022120 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 1212112022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411520034600).

1212112022120 is an abundant number, since it is smaller than the sum of its proper divisors (1610928047080).

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

1212112022120 is a wasteful number, since it uses less digits than its factorization.

1212112022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646278 (or 646274 counting only the distinct ones).

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

Adding to 1212112022120 its reverse (212202112121), we get a palindrome (1424314134241).

Subtracting from 1212112022120 its reverse (212202112121), we obtain a palindrome (999909909999).

The spelling of 1212112022120 in words is "one trillion, two hundred twelve billion, one hundred twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1621 3242 6484 8105 12968 16210 32420 47009 64840 94018 188036 235045 376072 470090 644617 940180 1289234 1880360 2578468 3223085 5156936 6446170 12892340 18693893 25784680 37387786 74775572 93469465 149551144 186938930 373877860 747755720 1044924157 2089848314 4179696628 5224620785 8359393256 10449241570 20898483140 30302800553 41796966280 60605601106 121211202212 151514002765 242422404424 303028005530 606056011060 1212112022120