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122111121012 = 223211318115161
BaseRepresentation
bin111000110111001100…
…0111101011001110100
3102200012010121200002120
41301232120331121310
54000040421333022
6132032545035540
711552012255106
oct1615630753164
9380163550076
10122111121012
11478725a9631
121b7ba925bb0
13b69069a0ba
145ca5889576
15329a4b7d5c
hex1c6e63d674

122111121012 has 48 divisors (see below), whose sum is σ = 286385193024. Its totient is φ = 40495392000.

The previous prime is 122111120993. The next prime is 122111121017. The reversal of 122111121012 is 210121111221.

It is a happy number.

It is a super-2 number, since 2×1221111210122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111120982 and 122111121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111121017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8046712 + ... + 8061872.

It is an arithmetic number, because the mean of its divisors is an integer number (5966358188).

Almost surely, 2122111121012 is an apocalyptic number.

122111121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111121012 is an abundant number, since it is smaller than the sum of its proper divisors (164274072012).

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

122111121012 is a wasteful number, since it uses less digits than its factorization.

122111121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18560 (or 18558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122111121012 its reverse (210121111221), we get a palindrome (332232232233).

The spelling of 122111121012 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 211 422 633 844 1266 2532 3181 6362 9543 12724 15161 19086 30322 38172 45483 60644 90966 181932 671191 1342382 2013573 2684764 3198971 4027146 6397942 8054292 9596913 12795884 19193826 38387652 48227141 96454282 144681423 192908564 289362846 578725692 10175926751 20351853502 30527780253 40703707004 61055560506 122111121012