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120122000220112 = 241122317915070801
BaseRepresentation
bin11011010100000000010101…
…001001110001111111010000
3120202022112212201201100121021
4123110000111021301333100
5111221034324024020422
61103251141325005224
734205346101016112
oct3324002511617720
9522275781640537
10120122000220112
11353024aa606300
12115805469b3814
1352045c0b37627
142193d15ccb3b2
15dd49b0013dc7
hex6d4015271fd0

120122000220112 has 120 divisors (see below), whose sum is σ = 268431479910720. Its totient is φ = 51935182464000.

The previous prime is 120122000220107. The next prime is 120122000220113. The reversal of 120122000220112 is 211022000221021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122000220113) 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, 435112 + ... + 15505912.

It is an arithmetic number, because the mean of its divisors is an integer number (2236928999256).

Almost surely, 2120122000220112 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 120122000220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134215739955360).

120122000220112 is an abundant number, since it is smaller than the sum of its proper divisors (148309479690608).

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

120122000220112 is a wasteful number, since it uses less digits than its factorization.

120122000220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15071033 (or 15071016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120122000220112 its reverse (211022000221021), we get a palindrome (331144000441133).

Subtracting 120122000220112 from its reverse (211022000221021), we obtain a palindrome (90900000000909).

The spelling of 120122000220112 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 179 184 242 253 358 368 484 506 716 968 1012 1432 1936 1969 2024 2783 2864 3938 4048 4117 5566 7876 8234 11132 15752 16468 21659 22264 31504 32936 43318 44528 45287 65872 86636 90574 173272 181148 346544 362296 498157 724592 996314 1992628 3985256 7970512 15070801 30141602 60283204 120566408 165778811 241132816 331557622 346628423 663115244 693256846 1326230488 1386513692 1823566921 2652460976 2697673379 2773027384 3647133842 3812912653 5395346758 5546054768 7294267684 7625825306 10790693516 14588535368 15251650612 21581387032 29177070736 29674407169 30503301224 41942039183 43162774064 59348814338 61006602448 62046487717 83884078366 118697628676 124092975434 167768156732 237395257352 248185950868 326418478859 335536313464 474790514704 496371901736 652836957718 671072626928 682511364887 992743803472 1305673915436 1365022729774 2611347830872 2730045459548 5222695661744 5460090919096 7507625013757 10920181838192 15015250027514 30030500055028 60061000110056 120122000220112