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122011104342040 = 23579197195995477
BaseRepresentation
bin11011101111011111101100…
…100010000111000000011000
3121000000010222122101220111221
4123233133230202013000120
5111443012220202421130
61111255043314301424
734462003623063244
oct3357375442070030
9530003878356457
10122011104342040
113597068963a581
121182669bb87874
1353107a03bc624
14221b5245d1424
15e18bc743387a
hex6ef7ec887018

122011104342040 has 64 divisors (see below), whose sum is σ = 279411153436800. Its totient is φ = 47942061393408.

The previous prime is 122011104341933. The next prime is 122011104342047. The reversal of 122011104342040 is 40243401110221.

122011104342040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1220111043420402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122011104341996 and 122011104342014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011104342047) 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, 97375219 + ... + 98620258.

It is an arithmetic number, because the mean of its divisors is an integer number (4365799272450).

Almost surely, 2122011104342040 is an apocalyptic number.

122011104342040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011104342040 is an abundant number, since it is smaller than the sum of its proper divisors (157400049094760).

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

122011104342040 is a wasteful number, since it uses less digits than its factorization.

122011104342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195995764 (or 195995760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 122011104342040 its reverse (40243401110221), we get a palindrome (162254505452261).

The spelling of 122011104342040 in words is "one hundred twenty-two trillion, eleven billion, one hundred four million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 197 316 394 395 632 788 790 985 1576 1580 1970 3160 3940 7880 15563 31126 62252 77815 124504 155630 311260 622520 195995477 391990954 783981908 979977385 1567963816 1959954770 3919909540 7839819080 15483642683 30967285366 38611108969 61934570732 77222217938 77418213415 123869141464 154444435876 154836426830 193055544845 308888871752 309672853660 386111089690 619345707320 772222179380 1544444358760 3050277608551 6100555217102 12201110434204 15251388042755 24402220868408 30502776085510 61005552171020 122011104342040