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122111422000 = 2453229326627
BaseRepresentation
bin111000110111001101…
…0000110111000110000
3102200012011011221222021
41301232122012320300
54000041011001000
6132032555321224
711552014650451
oct1615632067060
9380164157867
10122111422000
1147872794787
121b7baa50214
13b6907740b9
145ca5927128
15329a52711a
hex1c6e686e30

122111422000 has 80 divisors (see below), whose sum is σ = 295405280352. Its totient is φ = 48821433600.

The previous prime is 122111421947. The next prime is 122111422007. The reversal of 122111422000 is 224111221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1221114220002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (122111422007) 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, 4572687 + ... + 4599313.

Almost surely, 2122111422000 is an apocalyptic number.

122111422000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122111422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147702640176).

122111422000 is an abundant number, since it is smaller than the sum of its proper divisors (173293858352).

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

122111422000 is a wasteful number, since it uses less digits than its factorization.

122111422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28943 (or 28927 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122111422000 its reverse (224111221), we get a palindrome (122335533221).

The spelling of 122111422000 in words is "one hundred twenty-two billion, one hundred eleven million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2293 4586 9172 11465 18344 22930 26627 36688 45860 53254 57325 91720 106508 114650 133135 183440 213016 229300 266270 286625 426032 458600 532540 573250 665675 917200 1065080 1146500 1331350 2130160 2293000 2662700 3328375 4586000 5325400 6656750 10650800 13313500 26627000 53254000 61055711 122111422 244222844 305278555 488445688 610557110 976891376 1221114220 1526392775 2442228440 3052785550 4884456880 6105571100 7631963875 12211142200 15263927750 24422284400 30527855500 61055711000 122111422000