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12212431322010 = 235235925084509
BaseRepresentation
bin1011000110110110110110…
…1000010111101110011010
31121020111102100002101012120
42301231231220113232122
53100042024404301020
641550151414322110
72400214301320563
oct261555550275632
947214370071176
1012212431322010
113989299116247
121452a26659336
136a78203307aa
14303128ab716a
15162a17914740
hexb1b6da17b9a

12212431322010 has 96 divisors (see below), whose sum is σ = 31111343844480. Its totient is φ = 3062256802176.

The previous prime is 12212431322009. The next prime is 12212431322081. The reversal of 12212431322010 is 1022313421221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140365 + ... + 4944144.

It is an arithmetic number, because the mean of its divisors is an integer number (324076498380).

Almost surely, 212212431322010 is an apocalyptic number.

12212431322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212431322010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15555671922240).

12212431322010 is an abundant number, since it is smaller than the sum of its proper divisors (18898912522470).

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

12212431322010 is a wasteful number, since it uses less digits than its factorization.

12212431322010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084660 (or 5084601 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12212431322010 its reverse (1022313421221), we get a palindrome (13234744743231).

The spelling of 12212431322010 in words is "twelve trillion, two hundred twelve billion, four hundred thirty-one million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 115 118 138 177 230 295 345 354 590 690 885 1357 1770 2714 3481 4071 6785 6962 8142 10443 13570 17405 20355 20886 34810 40710 52215 80063 104430 160126 240189 400315 480378 800630 1200945 2401890 5084509 10169018 15253527 25422545 30507054 50845090 76267635 116943707 152535270 233887414 299986031 350831121 584718535 599972062 701662242 899958093 1169437070 1499930155 1754155605 1799916186 2999860310 3508311210 4499790465 6899678713 8999580930 13799357426 17699175829 20699036139 34498393565 35398351658 41398072278 53097527487 68996787130 88495879145 103495180695 106195054974 176991758290 206990361390 265487637435 407081044067 530975274870 814162088134 1221243132201 2035405220335 2442486264402 4070810440670 6106215661005 12212431322010