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1220112000120 = 2335137611027757
BaseRepresentation
bin10001110000010100010…
…101111010010001111000
311022122022200222120111210
4101300110111322101320
5124442242133000440
62332302310323120
7154102340611626
oct21602425722170
94278280876453
101220112000120
114304a04634a2
121785710594a0
138b0962481b0
14430a7646516
1521b106cba80
hex11c1457a478

1220112000120 has 128 divisors (see below), whose sum is σ = 3947084043840. Its totient is φ = 299940311040.

The previous prime is 1220112000109. The next prime is 1220112000169. The reversal of 1220112000120 is 210002110221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1220112000096 and 1220112000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673282 + ... + 1701038.

Almost surely, 21220112000120 is an apocalyptic number.

1220112000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220112000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973542021920).

1220112000120 is an abundant number, since it is smaller than the sum of its proper divisors (2726972043720).

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

1220112000120 is a wasteful number, since it uses less digits than its factorization.

1220112000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028545 (or 1028541 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1220112000120 its reverse (210002110221), we get a palindrome (1430114110341).

The spelling of 1220112000120 in words is "one trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 761 780 1522 1560 2283 3044 3805 4566 6088 7610 9132 9893 11415 15220 18264 19786 22830 29679 30440 39572 45660 49465 59358 79144 91320 98930 118716 148395 197860 237432 296790 395720 593580 1027757 1187160 2055514 3083271 4111028 5138785 6166542 8222056 10277570 12333084 13360841 15416355 20555140 24666168 26721682 30832710 40082523 41110280 53443364 61665420 66804205 80165046 106886728 123330840 133608410 160330092 200412615 267216820 320660184 400825230 534433640 782123077 801650460 1564246154 1603300920 2346369231 3128492308 3910615385 4692738462 6256984616 7821230770 9385476924 10167600001 11731846155 15642461540 18770953848 20335200002 23463692310 30502800003 31284923080 40670400004 46927384620 50838000005 61005600006 81340800008 93854769240 101676000010 122011200012 152514000015 203352000020 244022400024 305028000030 406704000040 610056000060 1220112000120