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20122020014000 = 245311179007171
BaseRepresentation
bin1001001001101000001011…
…10110101110011110110000
32122020122110011122110102112
410210310011312232132300
510114134344110422000
6110443532310304452
74144524262023632
oct444640566563660
978218404573375
1020122020014000
116458778799613
12230b947958128
13b2c662b32058
144d7ca798ca52
1524d647354235
hex124d05dae7b0

20122020014000 has 80 divisors (see below), whose sum is σ = 48698608479456. Its totient is φ = 8041601376000.

The previous prime is 20122020013981. The next prime is 20122020014021. The reversal of 20122020014000 is 41002022102.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2269586 + ... + 6737585.

Almost surely, 220122020014000 is an apocalyptic number.

20122020014000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122020014000 is an abundant number, since it is smaller than the sum of its proper divisors (28576588465456).

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

20122020014000 is a wasteful number, since it uses less digits than its factorization.

20122020014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008311 (or 9008295 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20122020014000 its reverse (41002022102), we get a palindrome (20163022036102).

The spelling of 20122020014000 in words is "twenty trillion, one hundred twenty-two billion, twenty million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1117 2000 2234 4468 5585 8936 11170 17872 22340 27925 44680 55850 89360 111700 139625 223400 279250 446800 558500 1117000 2234000 9007171 18014342 36028684 45035855 72057368 90071710 144114736 180143420 225179275 360286840 450358550 720573680 900717100 1125896375 1801434200 2251792750 3602868400 4503585500 9007171000 10061010007 18014342000 20122020014 40244040028 50305050035 80488080056 100610100070 160976160112 201220200140 251525250175 402440400280 503050500350 804880800560 1006101000700 1257626250875 2012202001400 2515252501750 4024404002800 5030505003500 10061010007000 20122020014000