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122113330120110 = 2357896919455309
BaseRepresentation
bin11011110000111110111001…
…101010100000010110101110
3121000100220211221020111021110
4123300332321222200112232
5112001201100002320420
61111414031151412450
734502253104623530
oct3360767152402656
9530326757214243
10122113330120110
11359aaa7740168a
121184246b224126
13531a312087ac4
1422224610bd850
15e1b6abc7cee0
hex6f0fb9aa05ae

122113330120110 has 128 divisors (see below), whose sum is σ = 339192983116800. Its totient is φ = 27558062484480.

The previous prime is 122113330120073. The next prime is 122113330120151. The reversal of 122113330120110 is 11021033311221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8187136 + ... + 17642444.

It is an arithmetic number, because the mean of its divisors is an integer number (2649945180600).

Almost surely, 2122113330120110 is an apocalyptic number.

122113330120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122113330120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169596491558400).

122113330120110 is an abundant number, since it is smaller than the sum of its proper divisors (217079652996690).

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

122113330120110 is a wasteful number, since it uses less digits than its factorization.

122113330120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9456106.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 122113330120110 its reverse (11021033311221), we get a palindrome (133134363431331).

The spelling of 122113330120110 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred thirty million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 210 267 445 534 623 691 890 1246 1335 1382 1869 2073 2670 3115 3455 3738 4146 4837 6230 6910 9345 9674 10365 14511 18690 20730 24185 29022 48370 61499 72555 122998 145110 184497 307495 368994 430493 614990 860986 922485 1291479 1844970 2152465 2582958 4304930 6457395 9455309 12914790 18910618 28365927 47276545 56731854 66187163 94553090 132374326 141829635 198561489 283659270 330935815 397122978 661871630 841522501 992807445 1683045002 1985614890 2524567503 4207612505 5049135006 5890657507 6533618519 8415225010 11781315014 12622837515 13067237038 17671972521 19600855557 25245675030 29453287535 32668092595 35343945042 39201711114 45735329633 58906575070 65336185190 88359862605 91470659266 98004277785 137205988899 176719725210 196008555570 228676648165 274411977798 457353296330 581492048191 686029944495 1162984096382 1372059888990 1744476144573 2907460240955 3488952289146 4070444337337 5814920481910 8140888674674 8722380722865 12211333012011 17444761445730 20352221686685 24422666024022 40704443373370 61056665060055 122113330120110