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120112021211004 = 2232171731981957241
BaseRepresentation
bin11011010011110111000010…
…010110111000011101111100
3120202021121010021110011120100
4123103313002112320131330
5111220403404412223004
61103242411212121100
734204543566601104
oct3323670226703574
9522247107404510
10120112021211004
11352a9249729039
121157a620a66190
1352036905b9604
14219364a870204
15dd45c8e00739
hex6d3dc25b877c

120112021211004 has 144 divisors (see below), whose sum is σ = 323356499837280. Its totient is φ = 37461841735680.

The previous prime is 120112021210957. The next prime is 120112021211033. The reversal of 120112021211004 is 400112120211021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2098327824 + ... + 2098385064.

It is an arithmetic number, because the mean of its divisors is an integer number (2245531248870).

Almost surely, 2120112021211004 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 120112021211004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161678249918640).

120112021211004 is an abundant number, since it is smaller than the sum of its proper divisors (203244478626276).

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

120112021211004 is a wasteful number, since it uses less digits than its factorization.

120112021211004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77260 (or 77255 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120112021211004 its reverse (400112120211021), we get a palindrome (520224141422025).

The spelling of 120112021211004 in words is "one hundred twenty trillion, one hundred twelve billion, twenty-one million, two hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 173 204 306 346 519 612 692 1038 1557 2076 2941 3114 5882 6228 8823 11764 17646 19819 26469 35292 39638 52938 57241 59457 79276 105876 114482 118914 171723 178371 228964 237828 336923 343446 356742 515169 673846 686892 713484 973097 1010769 1030338 1347692 1946194 2021538 2060676 2919291 3032307 3428687 3892388 4043076 5838582 6064614 6857374 8757873 9902693 10286061 11677164 12129228 13714748 17515746 19805386 20572122 29708079 30858183 35031492 39610772 41144244 58287679 59416158 61716366 89124237 116575358 118832316 123432732 168345781 174863037 178248474 233150716 336691562 349726074 356496948 505037343 524589111 673383124 699452148 1010074686 1049178222 1134459379 1515112029 2020149372 2098356444 2268918758 3030224058 3403378137 4537837516 6060448116 6806756274 10210134411 13613512548 19285809443 20420268822 38571618886 40840537644 57857428329 77143237772 115714856658 173572284987 196261472567 231429713316 347144569974 392522945134 588784417701 694289139948 785045890268 1177568835402 1766353253103 2355137670804 3336445033639 3532706506206 6672890067278 7065413012412 10009335100917 13345780134556 20018670201834 30028005302751 40037340403668 60056010605502 120112021211004