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20121202222000 = 245311942197081
BaseRepresentation
bin1001001001100110101010…
…00111000110001110110000
32122020120100011211022200221
410210303111013012032300
510114131210232101000
6110443315214222424
74144465101635455
oct444632507061660
978216304738627
1020121202222000
116458399106360
12230b759ab4a14
13b2c56258ca69
144d7c2b11182c
1524d5ea66561a
hex124cd51c63b0

20121202222000 has 160 divisors (see below), whose sum is σ = 53082253643328. Its totient is φ = 7315948800000.

The previous prime is 20121202221983. The next prime is 20121202222003. The reversal of 20121202222000 is 22220212102.

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

It is not an unprimeable number, because it can be changed into a prime (20121202222003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207213460 + ... + 207310540.

Almost surely, 220121202222000 is an apocalyptic number.

20121202222000 is a gapful number since it is divisible by the number (20) 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 20121202222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26541126821664).

20121202222000 is an abundant number, since it is smaller than the sum of its proper divisors (32961051421328).

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

20121202222000 is a wasteful number, since it uses less digits than its factorization.

20121202222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106536 (or 106520 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20121202222000 its reverse (22220212102), we get a palindrome (20143422434102).

The spelling of 20121202222000 in words is "twenty trillion, one hundred twenty-one billion, two hundred two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 9421 11000 18842 22000 37684 47105 75368 94210 97081 103631 150736 188420 194162 207262 235525 376840 388324 414524 471050 485405 518155 753680 776648 829048 942100 970810 1036310 1067891 1177625 1553296 1658096 1884200 1941620 2072620 2135782 2355250 2427025 2590775 3768400 3883240 4145240 4271564 4710500 4854050 5181550 5339455 7766480 8290480 8543128 9421000 9708100 10363100 10678910 12135125 12953875 17086256 18842000 19416200 20726200 21357820 24270250 25907750 26697275 38832400 41452400 42715640 48540500 51815500 53394550 85431280 97081000 103631000 106789100 133486375 194162000 207262000 213578200 266972750 427156400 533945500 914600101 1067891000 1829200202 2135782000 3658400404 4573000505 7316800808 9146001010 10060601111 14633601616 18292002020 20121202222 22865002525 36584004040 40242404444 45730005050 50303005555 73168008080 80484808888 91460010100 100606011110 114325012625 160969617776 182920020200 201212022220 228650025250 251515027775 365840040400 402424044440 457300050500 503030055550 804848088880 914600101000 1006060111100 1257575138875 1829200202000 2012120222200 2515150277750 4024240444400 5030300555500 10060601111000 20121202222000