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1121012022000 = 243531314371949
BaseRepresentation
bin10000010100000001100…
…001011111101011110000
310222011112020220002011210
4100110001201133223300
5121331313034201000
62214552534040120
7143663502652623
oct20240141375360
93864466802153
101121012022000
113a2467075132
121613147a9040
138193203c0a0
143c385d49dba
151e2604c5350
hex1050185faf0

1121012022000 has 160 divisors (see below), whose sum is σ = 3892154011200. Its totient is φ = 275941401600.

The previous prime is 1121012021963. The next prime is 1121012022023. The reversal of 1121012022000 is 2202101211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7107975 + ... + 7263974.

It is an arithmetic number, because the mean of its divisors is an integer number (24325962570).

Almost surely, 21121012022000 is an apocalyptic number.

1121012022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121012022000 is an abundant number, since it is smaller than the sum of its proper divisors (2771141989200).

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

1121012022000 is a wasteful number, since it uses less digits than its factorization.

1121012022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14371988 (or 14371972 counting only the distinct ones).

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

Adding to 1121012022000 its reverse (2202101211), we get a palindrome (1123214123211).

The spelling of 1121012022000 in words is "one trillion, one hundred twenty-one billion, twelve million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 14371949 28743898 43115847 57487796 71859745 86231694 114975592 143719490 172463388 186835337 215579235 229951184 287438980 344926776 359298725 373670674 431158470 560506011 574877960 689853552 718597450 747341348 862316940 934176685 1077896175 1121012022 1149755920 1437194900 1494682696 1724633880 1796493625 1868353370 2155792350 2242024044 2802530055 2874389800 2989365392 3449267760 3592987250 3736706740 4311584700 4484048088 4670883425 5389480875 5605060110 5748779600 7185974500 7473413480 8623169400 8968096176 9341766850 10778961750 11210120220 14012650275 14371949000 14946826960 17246338800 18683533700 21557923500 22420240440 23354417125 28025300550 28743898000 37367067400 43115847000 44840480880 46708834250 56050601100 70063251375 74734134800 86231694000 93417668500 112101202200 140126502750 186835337000 224202404400 280253005500 373670674000 560506011000 1121012022000