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12121011152 = 2417374672579
BaseRepresentation
bin10110100100111011…
…11111001111010000
31011021201211011102222
423102131333033100
5144310434324102
65322431200212
7606240615635
oct132235771720
934251734388
1012121011152
11515aaa4098
122423376068
1311b2253a63
1482db1c18c
154ae1c5aa2
hex2d277f3d0

12121011152 has 80 divisors (see below), whose sum is σ = 25602557760. Its totient is φ = 5535811584.

The previous prime is 12121011143. The next prime is 12121011167. The reversal of 12121011152 is 25111012121.

It is a super-2 number, since 2×121210111522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12121011152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4698599 + ... + 4701177.

It is an arithmetic number, because the mean of its divisors is an integer number (320031972).

Almost surely, 212121011152 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 12121011152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801278880).

12121011152 is an abundant number, since it is smaller than the sum of its proper divisors (13481546608).

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

12121011152 is a wasteful number, since it uses less digits than its factorization.

12121011152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 12121011152 its reverse (25111012121), we get a palindrome (37232023273).

The spelling of 12121011152 in words is "twelve billion, one hundred twenty-one million, eleven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 467 592 629 934 1258 1868 2516 2579 3736 5032 5158 7472 7939 10064 10316 15878 17279 20632 31756 34558 41264 43843 63512 69116 87686 95423 127024 138232 175372 190846 276464 293743 350744 381692 587486 701488 763384 1174972 1204393 1526768 1622191 2349944 2408786 3244382 4699888 4817572 6488764 9635144 12977528 19270288 20474681 25955056 40949362 44562541 81898724 89125082 163797448 178250164 327594896 356500328 713000656 757563197 1515126394 3030252788 6060505576 12121011152