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122120011000 = 23531319494413
BaseRepresentation
bin111000110111011101…
…0110111110011111000
3102200012202100022212101
41301232322313303320
54000100210323000
6132033503353144
711552150652331
oct1615672676370
9380182308771
10122120011000
1147877620829
121b8018b27b4
13b692490650
145ca6b21288
15329b171e6a
hex1c6eeb7cf8

122120011000 has 128 divisors (see below), whose sum is σ = 323940052800. Its totient is φ = 42717196800.

The previous prime is 122120010997. The next prime is 122120011061. The reversal of 122120011000 is 110021221.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 207 + ... + 494206.

Almost surely, 2122120011000 is an apocalyptic number.

122120011000 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 122120011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161970026400).

122120011000 is an abundant number, since it is smaller than the sum of its proper divisors (201820041800).

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

122120011000 is a wasteful number, since it uses less digits than its factorization.

122120011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494466 (or 494452 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122120011000 its reverse (110021221), we get a palindrome (122230032221).

The spelling of 122120011000 in words is "one hundred twenty-two billion, one hundred twenty million, eleven thousand".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 125 130 152 190 200 247 250 260 325 380 475 494 500 520 650 760 950 988 1000 1235 1300 1625 1900 1976 2375 2470 2600 3250 3800 4750 4940 6175 6500 9500 9880 12350 13000 19000 24700 30875 49400 61750 123500 247000 494413 988826 1977652 2472065 3955304 4944130 6427369 9393847 9888260 12360325 12854738 18787694 19776520 24720650 25709476 32136845 37575388 46969235 49441300 51418952 61801625 64273690 75150776 93938470 98882600 122120011 123603250 128547380 160684225 187876940 234846175 244240022 247206500 257094760 321368450 375753880 469692350 488480044 494413000 610600055 642736900 803421125 939384700 976960088 1174230875 1221200110 1285473800 1606842250 1878769400 2348461750 2442400220 3053000275 3213684500 4696923500 4884800440 6106000550 6427369000 9393847000 12212001100 15265001375 24424002200 30530002750 61060005500 122120011000