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122111101340 = 22523336437193
BaseRepresentation
bin111000110111001100…
…0111000100110011100
3102200012010120200002222
41301232120320212130
54000040420220330
6132032544404512
711552012143544
oct1615630704634
9380163520088
10122111101340
1147872595878
121b7ba916738
13b690691167
145ca5882324
15329a4b20e5
hex1c6e63899c

122111101340 has 48 divisors (see below), whose sum is σ = 257640391008. Its totient is φ = 48614697984.

The previous prime is 122111101283. The next prime is 122111101367. The reversal of 122111101340 is 43101111221.

It is a super-2 number, since 2×1221111013402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16972784 + ... + 16979976.

It is an arithmetic number, because the mean of its divisors is an integer number (5367508146).

Almost surely, 2122111101340 is an apocalyptic number.

122111101340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111101340 is an abundant number, since it is smaller than the sum of its proper divisors (135529289668).

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

122111101340 is a wasteful number, since it uses less digits than its factorization.

122111101340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11078 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 122111101340 its reverse (43101111221), we get a palindrome (165212212561).

The spelling of 122111101340 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 3643 4660 7193 7286 14386 14572 18215 28772 35965 36430 71930 72860 143860 848819 1675969 1697638 3351938 3395276 4244095 6703876 8379845 8488190 16759690 16976380 26204099 33519380 52408198 104816396 131020495 262040990 524081980 6105555067 12211110134 24422220268 30527775335 61055550670 122111101340