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120100010212 = 227132101251291
BaseRepresentation
bin110111111011010000…
…1001011100011100100
3102110222222100122201101
41233312201023203210
53431431100311322
6131101224005444
711451122146240
oct1576641134344
9373888318641
10120100010212
1146a30363296
121b339300884
13b42cb32700
145b5473b420
1531cdb5d327
hex1bf684b8e4

120100010212 has 72 divisors (see below), whose sum is σ = 262674522432. Its totient is φ = 47041488000.

The previous prime is 120100010183. The next prime is 120100010243. The reversal of 120100010212 is 212010001021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352287 + ... + 603577.

It is an arithmetic number, because the mean of its divisors is an integer number (3648257256).

Almost surely, 2120100010212 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 120100010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131337261216).

120100010212 is an abundant number, since it is smaller than the sum of its proper divisors (142574512220).

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

120100010212 is a wasteful number, since it uses less digits than its factorization.

120100010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251429 (or 251414 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120100010212 its reverse (212010001021), we get a palindrome (332110011233).

It can be divided in two parts, 12010001021 and 2, that multiplied together give a palindrome (24020002042).

The spelling of 120100010212 in words is "one hundred twenty billion, one hundred million, ten thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 169 182 202 338 364 404 676 707 1183 1313 1414 2366 2626 2828 4732 5252 9191 17069 18382 34138 36764 68276 119483 238966 251291 477932 502582 1005164 1759037 3266783 3518074 6533566 7036148 13067132 22867481 25380391 42468179 45734962 50760782 84936358 91469924 101521564 169872716 177662737 297277253 329945083 355325474 594554506 659890166 710650948 1189109012 1319780332 2309615581 4289286079 4619231162 8578572158 9238462324 17157144316 30025002553 60050005106 120100010212