Search a number
-
+
122000022120 = 23351735876687
BaseRepresentation
bin111000110011111000…
…1001001101001101000
3102122220101120021001210
41301213301021221220
53444324001201440
6132013535513120
711546163035454
oct1614761115150
9378811507053
10122000022120
1147815917369
121b7896887a0
13b67366b802
145c94c09664
15329086ea80
hex1c67c49a68

122000022120 has 64 divisors (see below), whose sum is σ = 368115736320. Its totient is φ = 32345279744.

The previous prime is 122000022107. The next prime is 122000022121. The reversal of 122000022120 is 21220000221.

122000022120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122000022096 and 122000022105.

It is not an unprimeable number, because it can be changed into a prime (122000022121) 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, 2917584 + ... + 2959103.

It is an arithmetic number, because the mean of its divisors is an integer number (5751808380).

Almost surely, 2122000022120 is an apocalyptic number.

122000022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000022120 is an abundant number, since it is smaller than the sum of its proper divisors (246115714200).

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

122000022120 is a wasteful number, since it uses less digits than its factorization.

122000022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876874 (or 5876870 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122000022120 its reverse (21220000221), we get a palindrome (143220022341).

The spelling of 122000022120 in words is "one hundred twenty-two billion, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6920 10380 20760 5876687 11753374 17630061 23506748 29383435 35260122 47013496 58766870 70520244 88150305 117533740 141040488 176300610 235067480 352601220 705202440 1016666851 2033333702 3050000553 4066667404 5083334255 6100001106 8133334808 10166668510 12200002212 15250002765 20333337020 24400004424 30500005530 40666674040 61000011060 122000022120