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122110012011 = 313172365312263
BaseRepresentation
bin111000110111001010…
…0101110101001101011
3102200012001112022211110
41301232110232221223
54000040130341021
6132032505201403
711551666655631
oct1615624565153
9380161468743
10122110012011
1147871a113a9
121b7ba490263
13b69039c3a0
145ca567b351
15329a349476
hex1c6e52ea6b

122110012011 has 64 divisors (see below), whose sum is σ = 194035709952. Its totient is φ = 67540273152.

The previous prime is 122110012009. The next prime is 122110012019. The reversal of 122110012011 is 110210011221.

It is not a de Polignac number, because 122110012011 - 21 = 122110012009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122110012019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9951466 + ... + 9963728.

It is an arithmetic number, because the mean of its divisors is an integer number (3031807968).

Almost surely, 2122110012011 is an apocalyptic number.

122110012011 is a deficient number, since it is larger than the sum of its proper divisors (71925697941).

122110012011 is a wasteful number, since it uses less digits than its factorization.

122110012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12972.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122110012011 its reverse (110210011221), we get a palindrome (232320023232).

The spelling of 122110012011 in words is "one hundred twenty-two billion, one hundred ten million, twelve thousand, eleven".

Divisors: 1 3 13 17 23 39 51 69 221 299 391 653 663 897 1173 1959 5083 8489 11101 12263 15019 15249 25467 33303 36789 45057 144313 159419 195247 208471 255323 282049 432939 478257 585741 625413 765969 846147 2710123 3319199 3666637 4794833 8007739 8130369 9957597 10999911 14384499 24023217 62332829 104100607 136131563 184177997 186998487 312301821 408394689 552533991 1769710319 2394313961 3131025949 5309130957 7182941883 9393077847 40703337337 122110012011