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12120220116 = 223223109113417
BaseRepresentation
bin10110100100110101…
…11110000111010100
31011021200022222100100
423102122332013110
5144310234020431
65322402214100
7606231112464
oct132232760724
934250288310
1012120220116
11515a603844
122423054330
1311b20379a4
1482d993ba4
154ae0bb4e6
hex2d26be1d4

12120220116 has 72 divisors (see below), whose sum is σ = 32000963904. Its totient is φ = 3860588160.

The previous prime is 12120220109. The next prime is 12120220117. The reversal of 12120220116 is 61102202121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120220117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896640 + ... + 910056.

It is an arithmetic number, because the mean of its divisors is an integer number (444457832).

Almost surely, 212120220116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120220116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000481952).

12120220116 is an abundant number, since it is smaller than the sum of its proper divisors (19880743788).

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

12120220116 is a wasteful number, since it uses less digits than its factorization.

12120220116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14541 (or 14536 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12120220116 its reverse (61102202121), we get a palindrome (73222422237).

The spelling of 12120220116 in words is "twelve billion, one hundred twenty million, two hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1091 2182 3273 4364 6546 9819 13092 13417 19638 25093 26834 39276 40251 50186 53668 75279 80502 100372 120753 150558 161004 225837 241506 301116 308591 451674 483012 617182 903348 925773 1234364 1851546 2777319 3703092 5554638 11109276 14637947 29275894 43913841 58551788 87827682 131741523 175655364 263483046 336672781 526966092 673345562 1010018343 1346691124 2020036686 3030055029 4040073372 6060110058 12120220116