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122000201001 = 3471515632531
BaseRepresentation
bin111000110011111000…
…1110101010100101001
3102122220101220100110000
41301213301311110221
53444324022413001
6132013543413213
711546164412130
oct1614761652451
9378811810400
10122000201001
1147815a297a8
121b789754209
13b673702063
145c94c54917
1532908a7a86
hex1c67c75529

122000201001 has 80 divisors (see below), whose sum is σ = 210117270528. Its totient is φ = 69102396000.

The previous prime is 122000200999. The next prime is 122000201017. The reversal of 122000201001 is 100102000221.

It is not a de Polignac number, because 122000201001 - 21 = 122000200999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122000202001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48201106 + ... + 48203636.

Almost surely, 2122000201001 is an apocalyptic number.

It is an amenable number.

122000201001 is a deficient number, since it is larger than the sum of its proper divisors (88117069527).

122000201001 is a wasteful number, since it uses less digits than its factorization.

122000201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122000201001 its reverse (100102000221), we get a palindrome (222102201222).

The spelling of 122000201001 in words is "one hundred twenty-two billion, two hundred one thousand, one".

Divisors: 1 3 7 9 21 27 63 81 151 189 453 563 567 1057 1359 1689 2531 3171 3941 4077 5067 7593 9513 11823 12231 15201 17717 22779 28539 35469 45603 53151 68337 85013 85617 106407 159453 205011 255039 319221 382181 478359 595091 765117 1146543 1424953 1435077 1785273 2295351 2675267 3439629 4274859 5355819 6886053 8025801 9974671 10318887 12824577 16067457 24077403 29924013 30956661 38473731 48202371 72232209 89772039 115421193 215167903 216696627 269316117 645503709 807948351 1506175321 1936511127 4518525963 5809533381 13555577889 17428600143 40666733667 122000201001