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122112301044 = 223177119874243
BaseRepresentation
bin111000110111001110…
…1011101011111110100
3102200012012211121210110
41301232131131133310
54000041222113134
6132033030223020
711552025301326
oct1615635353764
9380165747713
10122112301044
1147873235168
121b7bb1b4a70
13b6909c1246
145ca5ab5616
15329a64c7e9
hex1c6e75d7f4

122112301044 has 96 divisors (see below), whose sum is σ = 306164468736. Its totient is φ = 37742261760.

The previous prime is 122112301037. The next prime is 122112301079. The reversal of 122112301044 is 440103211221.

It is a super-2 number, since 2×1221123010442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122112301044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28777587 + ... + 28781829.

It is an arithmetic number, because the mean of its divisors is an integer number (3189213216).

Almost surely, 2122112301044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112301044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153082234368).

122112301044 is an abundant number, since it is smaller than the sum of its proper divisors (184052167692).

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

122112301044 is a wasteful number, since it uses less digits than its factorization.

122112301044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122112301044 its reverse (440103211221), we get a palindrome (562215512265).

The spelling of 122112301044 in words is "one hundred twenty-two billion, one hundred twelve million, three hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 1987 2414 3621 3974 4243 4828 5961 7242 7948 8486 11922 12729 14484 16972 23844 25458 33779 50916 67558 72131 101337 135116 141077 144262 202674 216393 282154 288524 301253 405348 423231 432786 564308 602506 846462 865572 903759 1205012 1692924 1807518 2398309 3615036 4796618 5121301 7194927 8430841 9593236 10242602 14389854 15363903 16861682 20485204 25292523 28779708 30727806 33723364 50585046 61455612 101170092 143324297 286648594 429972891 573297188 598589711 859945782 1197179422 1719891564 1795769133 2394358844 3591538266 7183076532 10176025087 20352050174 30528075261 40704100348 61056150522 122112301044