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121112201122000 = 2453112500463641
BaseRepresentation
bin11011100010011010100001…
…101110011101000011010000
3120212211012202112102000112121
4123202122201232131003100
5111333300241441401000
61105330102130504024
734340032150555024
oct3342324156350320
9525735675360477
10121112201122000
113565443a165800
1211700433135014
135276aa6c2765a
1421c9c0cb4a384
15e00616353b1a
hex6e26a1b9d0d0

121112201122000 has 120 divisors (see below), whose sum is σ = 321892208970696. Its totient is φ = 44040800320000.

The previous prime is 121112201121943. The next prime is 121112201122027. The reversal of 121112201122000 is 221102211121.

It can be written as a sum of positive squares in 4 ways, for example, as 33764559889984 + 87347641232016 = 5810728^2 + 9345996^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249989821 + ... + 250473820.

Almost surely, 2121112201122000 is an apocalyptic number.

121112201122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121112201122000 is an abundant number, since it is smaller than the sum of its proper divisors (200780007848696).

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

121112201122000 is a wasteful number, since it uses less digits than its factorization.

121112201122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500463686 (or 500463659 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121112201122000 its reverse (221102211121), we get a palindrome (121333303333121).

The spelling of 121112201122000 in words is "one hundred twenty-one trillion, one hundred twelve billion, two hundred one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 9680 11000 12100 15125 22000 24200 30250 48400 60500 121000 242000 500463641 1000927282 2001854564 2502318205 4003709128 5004636410 5505100051 8007418256 10009272820 11010200102 12511591025 20018545640 22020400204 25023182050 27525500255 40037091280 44040800408 50046364100 55051000510 60556100561 62557955125 88081600816 100092728200 110102001020 121112201122 125115910250 137627501275 200185456400 220204002040 242224402244 250231820500 275255002550 302780502805 440408004080 484448804488 500463641000 550510005100 605561005610 688137506375 968897608976 1000927282000 1101020010200 1211122011220 1376275012750 1513902514025 2202040020400 2422244022440 2752550025500 3027805028050 4844488044880 5505100051000 6055610056100 7569512570125 11010200102000 12111220112200 15139025140250 24222440224400 30278050280500 60556100561000 121112201122000