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122010401000 = 23531034792473
BaseRepresentation
bin111000110100001100…
…0101111100011101000
3102122221010002120012202
41301220120233203220
53444334130313000
6132014550155332
711546350203545
oct1615030574350
9378833076182
10122010401000
1147820766154
121b791052b48
13b675863967
145c9634bbcc
15329171edd5
hex1c6862f8e8

122010401000 has 128 divisors (see below), whose sum is σ = 288994867200. Its totient is φ = 48209932800.

The previous prime is 122010400979. The next prime is 122010401011. The reversal of 122010401000 is 104010221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49335764 + ... + 49338236.

It is an arithmetic number, because the mean of its divisors is an integer number (2257772400).

Almost surely, 2122010401000 is an apocalyptic number.

122010401000 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 122010401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144497433600).

122010401000 is an abundant number, since it is smaller than the sum of its proper divisors (166984466200).

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

122010401000 is a wasteful number, since it uses less digits than its factorization.

122010401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122010401000 its reverse (104010221), we get a palindrome (122114411221).

The spelling of 122010401000 in words is "one hundred twenty-two billion, ten million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 479 500 515 824 958 1000 1030 1916 2060 2395 2473 2575 3832 4120 4790 4946 5150 9580 9892 10300 11975 12365 12875 19160 19784 20600 23950 24730 25750 47900 49337 49460 51500 59875 61825 95800 98674 98920 103000 119750 123650 197348 239500 246685 247300 254719 309125 394696 479000 493370 494600 509438 618250 986740 1018876 1184567 1233425 1236500 1273595 1973480 2037752 2369134 2466850 2473000 2547190 4738268 4933700 5094380 5922835 6167125 6367975 9476536 9867400 10188760 11845670 12334250 12735950 23691340 24668500 25471900 29614175 31839875 47382680 49337000 50943800 59228350 63679750 118456700 122010401 127359500 148070875 236913400 244020802 254719000 296141750 488041604 592283500 610052005 976083208 1184567000 1220104010 2440208020 3050260025 4880416040 6100520050 12201040100 15251300125 24402080200 30502600250 61005200500 122010401000