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120022200102012 = 22313259182544429
BaseRepresentation
bin11011010010100011011000…
…100110100010110001111100
3120201222000021111012001202220
4123102203120212202301330
5111212420431211231022
61103133234302045340
734165214002013505
oct3322433046426174
9521860244161686
10120022200102012
1135274146a9245a
1211565133b79850
1351c8077870500
14218d16961bbac
15dd20bd60d85c
hex6d28d89a2c7c

120022200102012 has 36 divisors (see below), whose sum is σ = 303251357659320. Its totient is φ = 36929907723072.

The previous prime is 120022200101987. The next prime is 120022200102017. The reversal of 120022200102012 is 210201002220021.

It is a junction number, because it is equal to n+sod(n) for n = 120022200101982 and 120022200102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022200102017) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29591270187 + ... + 29591274242.

It is an arithmetic number, because the mean of its divisors is an integer number (8423648823870).

Almost surely, 2120022200102012 is an apocalyptic number.

120022200102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120022200102012 is an abundant number, since it is smaller than the sum of its proper divisors (183229157557308).

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

120022200102012 is a wasteful number, since it uses less digits than its factorization.

120022200102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59182544462 (or 59182544447 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120022200102012 its reverse (210201002220021), we get a palindrome (330223202322033).

The spelling of 120022200102012 in words is "one hundred twenty trillion, twenty-two billion, two hundred million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 59182544429 118365088858 177547633287 236730177716 355095266574 710190533148 769373077577 1538746155154 2308119232731 3077492310308 4616238465462 9232476930924 10001850008501 20003700017002 30005550025503 40007400034004 60011100051006 120022200102012