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122021111982 = 23711244215431
BaseRepresentation
bin111000110100100000…
…1100110100010101110
3102122221212020201220210
41301221001212202232
53444344401040412
6132020011523250
711546540224110
oct1615101464256
9378855221823
10122021111982
1147826811500
121b794759526
13b677b44013
145c979393b0
15329263883c
hex1c690668ae

122021111982 has 96 divisors (see below), whose sum is σ = 306691241472. Its totient is φ = 31680792000.

The previous prime is 122021111969. The next prime is 122021112023. The reversal of 122021111982 is 289111120221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22464807 + ... + 22470237.

It is an arithmetic number, because the mean of its divisors is an integer number (3194700432).

Almost surely, 2122021111982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122021111982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153345620736).

122021111982 is an abundant number, since it is smaller than the sum of its proper divisors (184670129490).

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

122021111982 is a wasteful number, since it uses less digits than its factorization.

122021111982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 122021111982 in words is "one hundred twenty-two billion, twenty-one million, one hundred eleven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 4421 5082 5431 8842 10862 13263 16293 26526 30947 32586 38017 48631 59741 61894 76034 92841 97262 114051 119482 145893 179223 185682 228102 291786 340417 358446 418187 534941 657151 680834 836374 1021251 1069882 1254561 1314302 1604823 1971453 2042502 2509122 3209646 3744587 3942906 4600057 7489174 9200114 11233761 13800171 22467522 24010451 27600342 48020902 72031353 144062706 168073157 264114961 336146314 504219471 528229922 792344883 1008438942 1584689766 1848804727 2905264571 3697609454 5546414181 5810529142 8715793713 11092828362 17431587426 20336851997 40673703994 61010555991 122021111982