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2120322010212 = 2232737972344379
BaseRepresentation
bin11110110110101101000…
…010100100110001100100
321111200220212221021102200
4132312231002210301210
5234214404413311322
64302021255134500
7306121361500530
oct36665502446144
97450825837380
102120322010212
11748250552a4a
122a2b23674430
13124c3a384913
14748a4898bc0
153a24b38d8ac
hex1edad0a4c64

2120322010212 has 144 divisors (see below), whose sum is σ = 6355782975360. Its totient is φ = 583356266496.

The previous prime is 2120322010211. The next prime is 2120322010223. The reversal of 2120322010212 is 2120102230212.

2120322010212 is a `hidden beast` number, since 2 + 120 + 322 + 0 + 10 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2120322010211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267762 + ... + 2076617.

Almost surely, 22120322010212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120322010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177891487680).

2120322010212 is an abundant number, since it is smaller than the sum of its proper divisors (4235460965148).

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

2120322010212 is a wasteful number, since it uses less digits than its factorization.

2120322010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344530 (or 2344525 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2120322010212 its reverse (2120102230212), we get a palindrome (4240424240424).

The spelling of 2120322010212 in words is "two trillion, one hundred twenty billion, three hundred twenty-two million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 97 111 126 148 194 222 252 259 291 333 388 444 518 582 666 679 777 873 1036 1164 1332 1358 1554 1746 2037 2331 2716 3108 3492 3589 4074 4662 6111 7178 8148 9324 10767 12222 14356 21534 24444 25123 32301 43068 50246 64602 75369 100492 129204 150738 226107 301476 452214 904428 2344379 4688758 7033137 9377516 14066274 16410653 21099411 28132548 32821306 42198822 49231959 65642612 84397644 86742023 98463918 147695877 173484046 196927836 227404763 260226069 295391754 346968092 454809526 520452138 590783508 607194161 682214289 780678207 909619052 1040904276 1214388322 1364428578 1561356414 1591833341 1821582483 2046642867 2428776644 2728857156 3122712828 3183666682 3643164966 4093285734 4775500023 5464747449 6367333364 7286329932 8186571468 8413976231 9551000046 10929494898 14326500069 16827952462 19102000092 21858989796 25241928693 28653000138 33655904924 50483857386 57306000276 58897833617 75725786079 100967714772 117795667234 151451572158 176693500851 235591334468 302903144316 353387001702 530080502553 706774003404 1060161005106 2120322010212