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12101040144 = 243385332839
BaseRepresentation
bin10110100010100011…
…10011100000010000
31011020100020112101000
423101101303200100
5144240331241034
65320435142000
7605606100264
oct132121634020
934210215330
1012101040144
11514a7a3626
122418744900
1311ab0808ab
1482b2000a4
154ac57d599
hex2d1473810

12101040144 has 80 divisors (see below), whose sum is σ = 34776246400. Its totient is φ = 4028828544.

The previous prime is 12101040139. The next prime is 12101040197. The reversal of 12101040144 is 44104010121.

12101040144 is a `hidden beast` number, since 1 + 210 + 10 + 401 + 44 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352077 + ... + 384915.

It is an arithmetic number, because the mean of its divisors is an integer number (434703080).

Almost surely, 212101040144 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 12101040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388123200).

12101040144 is an abundant number, since it is smaller than the sum of its proper divisors (22675206256).

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

12101040144 is a wasteful number, since it uses less digits than its factorization.

12101040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33709 (or 33697 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12101040144 its reverse (44104010121), we get a palindrome (56205050265).

The spelling of 12101040144 in words is "twelve billion, one hundred one million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 853 1706 2559 3412 5118 6824 7677 10236 13648 15354 20472 23031 30708 32839 40944 46062 61416 65678 92124 98517 122832 131356 184248 197034 262712 295551 368496 394068 525424 591102 788136 886653 1182204 1576272 1773306 2364408 3546612 4728816 7093224 14186448 28011667 56023334 84035001 112046668 168070002 224093336 252105003 336140004 448186672 504210006 672280008 756315009 1008420012 1344560016 1512630018 2016840024 3025260036 4033680048 6050520072 12101040144