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122211114320 = 24539710913527
BaseRepresentation
bin111000111010001011…
…0011001110101010000
3102200110002202212010102
41301310112121311100
54000242021124240
6132050520151532
711554335221561
oct1616426316520
9380402685112
10122211114320
1147913a96029
121b8283085a8
13b6a830a839
145cb4c78168
1532a416a815
hex1c74599d50

122211114320 has 80 divisors (see below), whose sum is σ = 285198496128. Its totient is φ = 48702804480.

The previous prime is 122211114301. The next prime is 122211114323. The reversal of 122211114320 is 23411112221.

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

It is a super-2 number, since 2×1222111143202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122211114292 and 122211114301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211114323) 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, 34648397 + ... + 34651923.

Almost surely, 2122211114320 is an apocalyptic number.

122211114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211114320 is an abundant number, since it is smaller than the sum of its proper divisors (162987381808).

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

122211114320 is a wasteful number, since it uses less digits than its factorization.

122211114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 122211114320 its reverse (23411112221), we get a palindrome (145622226541).

The spelling of 122211114320 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 397 794 1091 1588 1985 2182 3176 3527 3970 4364 5455 6352 7054 7940 8728 10910 14108 15880 17456 17635 21820 28216 31760 35270 43640 56432 70540 87280 141080 282160 433127 866254 1400219 1732508 2165635 2800438 3465016 3847957 4331270 5600876 6930032 7001095 7695914 8662540 11201752 14002190 15391828 17325080 19239785 22403504 28004380 30783656 34650160 38479570 56008760 61567312 76959140 112017520 153918280 307836560 1527638929 3055277858 6110555716 7638194645 12221111432 15276389290 24442222864 30552778580 61105557160 122211114320