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120002211001002 = 231119592277145191
BaseRepresentation
bin11011010010010000110001…
…001010001011001010101010
3120201220002200102011112010110
4123102100301022023022222
5111212104012004013002
61103120131002155150
734163605441322211
oct3322206112131252
9521802612145113
10120002211001002
1135266719727a70
12115612957b2ab6
1351c62105106a5
14218c1d0972078
15dd17ed7e6e6c
hex6d243128b2aa

120002211001002 has 128 divisors (see below), whose sum is σ = 281509132492800. Its totient is φ = 33717294187200.

The previous prime is 120002211000967. The next prime is 120002211001037. The reversal of 120002211001002 is 200100112200021.

It is an interprime number because it is at equal distance from previous prime (120002211000967) and next prime (120002211001037).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13222227 + ... + 20367417.

It is an arithmetic number, because the mean of its divisors is an integer number (2199290097600).

Almost surely, 2120002211001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120002211001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140754566246400).

120002211001002 is an abundant number, since it is smaller than the sum of its proper divisors (161506921491798).

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

120002211001002 is a wasteful number, since it uses less digits than its factorization.

120002211001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7145512.

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

Adding to 120002211001002 its reverse (200100112200021), we get a palindrome (320102323201023).

The spelling of 120002211001002 in words is "one hundred twenty trillion, two billion, two hundred eleven million, one thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 59 66 114 118 177 209 227 354 418 454 627 649 681 1121 1254 1298 1362 1947 2242 2497 3363 3894 4313 4994 6726 7491 8626 12331 12939 13393 14982 24662 25878 26786 36993 40179 47443 73986 80358 94886 142329 147323 254467 284658 294646 441969 508934 763401 883938 1526802 2799137 5598274 7145191 8397411 14290382 16794822 21435573 42871146 78597101 135758629 157194202 235791303 271517258 407275887 421566269 471582606 814551774 843132538 1264698807 1493344919 1621958357 2529397614 2986689838 3243916714 4480034757 4637228959 4865875071 8009759111 8960069514 9274457918 9731750142 13911686877 16019518222 17841541927 24029277333 27823373754 30817208783 35683083854 48058554666 53524625781 61634417566 88107350221 92451626349 95695543063 107049251562 176214700442 184903252698 191391086126 264322050663 287086629189 338989296613 528644101326 574173258378 677978593226 1016967889839 1052650973693 1818215318197 2033935779678 2105301947386 3157952921079 3636430636394 5454645954591 6315905842158 10909291909182 20000368500167 40000737000334 60001105500501 120002211001002