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122311143122412 = 22337535197651841
BaseRepresentation
bin11011110011110111001000…
…001111001110010111101100
3121001001211102212022011221010
4123303313020033032113230
5112012421210114404122
61112044544034505220
734522455101454126
oct3363671017162754
9531054385264833
10122311143122412
1135a76956714072
1211874876435210
135332b782788aa
14222bc6894a216
15e218d8202e0c
hex6f3dc83ce5ec

122311143122412 has 48 divisors (see below), whose sum is σ = 298636284233952. Its totient is φ = 38920016977920.

The previous prime is 122311143122387. The next prime is 122311143122423. The reversal of 122311143122412 is 214221341113221.

It is a super-2 number, since 2×1223111431224122 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122311143122412.

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, 2598802389 + ... + 2598849452.

It is an arithmetic number, because the mean of its divisors is an integer number (6221589254874).

Almost surely, 2122311143122412 is an apocalyptic number.

122311143122412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122311143122412 is an abundant number, since it is smaller than the sum of its proper divisors (176325141111540).

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

122311143122412 is a wasteful number, since it uses less digits than its factorization.

122311143122412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197651938 (or 5197651936 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 122311143122412 its reverse (214221341113221), we get a palindrome (336532484235633).

The spelling of 122311143122412 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred forty-three million, one hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 37 53 74 106 111 148 159 212 222 318 444 636 1961 3922 5883 7844 11766 23532 5197651841 10395303682 15592955523 20790607364 31185911046 62371822092 192313118117 275475547573 384626236234 550951095146 576939354351 769252472468 826426642719 1101902190292 1153878708702 1652853285438 2307757417404 3305706570876 10192595260201 20385190520402 30577785780603 40770381040804 61155571561206 122311143122412