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122012211072 = 273794022027
BaseRepresentation
bin111000110100001111…
…1101001011110000000
3102122221020111112011110
41301220133221132000
53444340111223242
6132015053043320
711546401452663
oct1615037513600
9378836445143
10122012211072
1147821792084
121b791786540
13b6760487cb
145c9669d6da
15329197b39c
hex1c687e9780

122012211072 has 64 divisors (see below), whose sum is σ = 328197484800. Its totient is φ = 40155907584.

The previous prime is 122012211071. The next prime is 122012211119. The reversal of 122012211072 is 270112210221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012211071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1980678 + ... + 2041349.

It is an arithmetic number, because the mean of its divisors is an integer number (5128085700).

Almost surely, 2122012211072 is an apocalyptic number.

122012211072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122012211072 is an abundant number, since it is smaller than the sum of its proper divisors (206185273728).

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

122012211072 is an equidigital number, since it uses as much as digits as its factorization.

122012211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022123 (or 4022111 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 122012211072 its reverse (270112210221), we get a palindrome (392124421293).

The spelling of 122012211072 in words is "one hundred twenty-two billion, twelve million, two hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 4022027 8044054 12066081 16088108 24132162 32176216 48264324 64352432 96528648 128704864 193057296 257409728 317740133 386114592 514819456 635480266 772229184 953220399 1270960532 1544458368 1906440798 2541921064 3812881596 5083842128 7625763192 10167684256 15251526384 20335368512 30503052768 40670737024 61006105536 122012211072