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122031211320 = 233252314738069
BaseRepresentation
bin111000110100110100…
…0001000001100111000
3102122222120020211121100
41301221220020030320
53444404442230240
6132021012211400
711550022116204
oct1615150101470
9378876224540
10122031211320
114783148a267
121b798009b60
13b679c6bb65
145c99007b04
153293480e30
hex1c69a08338

122031211320 has 96 divisors (see below), whose sum is σ = 413845005600. Its totient is φ = 31126799616.

The previous prime is 122031211307. The next prime is 122031211331. The reversal of 122031211320 is 23112130221.

122031211320 is a `hidden beast` number, since 1 + 2 + 20 + 312 + 11 + 320 = 666.

It is a super-2 number, since 2×1220312113202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122031211293 and 122031211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7360755 + ... + 7377314.

It is an arithmetic number, because the mean of its divisors is an integer number (4310885475).

Almost surely, 2122031211320 is an apocalyptic number.

122031211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122031211320 is an abundant number, since it is smaller than the sum of its proper divisors (291813794280).

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

122031211320 is a wasteful number, since it uses less digits than its factorization.

122031211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14738109 (or 14738102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122031211320 its reverse (23112130221), we get a palindrome (145143341541).

The spelling of 122031211320 in words is "one hundred twenty-two billion, thirty-one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 14738069 29476138 44214207 58952276 73690345 88428414 117904552 132642621 147380690 176856828 221071035 265285242 294761380 338975587 353713656 442142070 530570484 589522760 663213105 677951174 884284140 1016926761 1061140968 1326426210 1355902348 1694877935 1768568280 2033853522 2652852420 2711804696 3050780283 3389755870 4067707044 5084633805 5305704840 6101560566 6779511740 8135414088 10169267610 12203121132 13559023480 15253901415 20338535220 24406242264 30507802830 40677070440 61015605660 122031211320