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122011212012102 = 23372389157684897
BaseRepresentation
bin11011101111011111110010…
…111100110101101001000110
3121000000011021011000010002000
4123233133302330311221012
5111443012430233341402
61111255102122130130
734462006401212160
oct3357376274655106
9530004234003060
10122011212012102
113597073439a6a6
1211826710050946
1353107b97ba31a
14221b534a1b930
15e18bd1b00c1c
hex6ef7f2f35a46

122011212012102 has 128 divisors (see below), whose sum is σ = 326975404492800. Its totient is φ = 32970019534848.

The previous prime is 122011212012083. The next prime is 122011212012113. The reversal of 122011212012102 is 201210212110221.

122011212012102 is a `hidden beast` number, since 1 + 220 + 11 + 21 + 201 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78068683 + ... + 79616214.

It is an arithmetic number, because the mean of its divisors is an integer number (2554495347600).

Almost surely, 2122011212012102 is an apocalyptic number.

122011212012102 is an abundant number, since it is smaller than the sum of its proper divisors (204964192480698).

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

122011212012102 is a wasteful number, since it uses less digits than its factorization.

122011212012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157685027 (or 157685021 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122011212012102 its reverse (201210212110221), we get a palindrome (323221424122323).

The spelling of 122011212012102 in words is "one hundred twenty-two trillion, eleven billion, two hundred twelve million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 89 126 138 161 178 189 207 267 322 378 414 483 534 621 623 801 966 1242 1246 1449 1602 1869 2047 2403 2898 3738 4094 4347 4806 5607 6141 8694 11214 12282 14329 16821 18423 28658 33642 36846 42987 55269 85974 110538 128961 257922 386883 773766 157684897 315369794 473054691 946109382 1103794279 1419164073 2207588558 2838328146 3311382837 3626752631 4257492219 6622765674 7253505262 8514984438 9934148511 10880257893 14033955833 19868297022 21760515786 25387268417 28067911666 29802445533 32640773679 42101867499 50774536834 59604891066 65281547358 76161805251 84203734998 97922321037 98237690831 126305602497 152323610502 195844642074 196475381662 228485415753 252611204994 294713072493 322780984159 378916807491 456970831506 589426144986 645561968318 685456247259 757833614982 884139217479 968342952477 1370912494518 1768278434958 1936685904954 2259466889113 2652417652437 2905028857431 4518933778226 5304835304874 5810057714862 6778400667339 8715086572293 13556801334678 17430173144586 20335202002017 40670404004034 61005606006051 122011212012102