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120212230100020 = 22543593883266953
BaseRepresentation
bin11011010101010100010111…
…010001011101010000110100
3120202122011210000011011200021
4123111110113101131100310
5111224024121401200040
61103400423000254524
734215022061235352
oct3325242721352064
9522564700134607
10120212230100020
11353377a1a68593
1211595b28771444
13520cc70476306
1421984355487d2
15dd6ee164d24a
hex6d551745d434

120212230100020 has 96 divisors (see below), whose sum is σ = 259046130575232. Its totient is φ = 46834161389568.

The previous prime is 120212230099889. The next prime is 120212230100033. The reversal of 120212230100020 is 20001032212021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120212230099967 and 120212230100003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450178864 + ... + 450445816.

It is an arithmetic number, because the mean of its divisors is an integer number (2698397193492).

Almost surely, 2120212230100020 is an apocalyptic number.

120212230100020 is a gapful number since it is divisible by the number (10) 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 120212230100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129523065287616).

120212230100020 is an abundant number, since it is smaller than the sum of its proper divisors (138833900475212).

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

120212230100020 is a wasteful number, since it uses less digits than its factorization.

120212230100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268481 (or 268479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120212230100020 its reverse (20001032212021), we get a palindrome (140213262312041).

The spelling of 120212230100020 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred thirty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 593 860 883 1186 1766 2372 2965 3532 4415 5930 8830 11860 17660 25499 37969 50998 75938 101996 127495 151876 189845 254990 266953 379690 509980 523619 533906 759380 1047238 1067812 1334765 2094476 2618095 2669530 5236190 5339060 10472380 11478979 22515617 22957958 45031234 45915916 57394895 90062468 112578085 114789790 158303129 225156170 229579580 235719499 316606258 450312340 471438998 633212516 791515645 942877996 1178597495 1583031290 2357194990 3166062580 4714389980 6807034547 10135938457 13614069094 20271876914 27228138188 34035172735 40543753828 50679692285 68070345470 101359384570 136140690940 139781662907 202718769140 279563325814 559126651628 698908314535 1397816629070 2795633258140 6010611505001 12021223010002 24042446020004 30053057525005 60106115050010 120212230100020