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120021200442231 = 31112912817200677
BaseRepresentation
bin11011010010100010011101…
…000001001001001101110111
3120201221220200211011002100120
4123102202131001021031313
5111212411404303122411
61103132551151543023
734165150143030504
oct3322423501111567
9521856624132316
10120021200442231
1135273783781250
1211564ab522aa73
1351c7c4872214a
14218d0b295c4ab
15dd2060998106
hex6d289d049377

120021200442231 has 16 divisors (see below), whose sum is σ = 174711517246848. Its totient is φ = 72683777440800.

The previous prime is 120021200442211. The next prime is 120021200442263. The reversal of 120021200442231 is 132244002120021.

It is not a de Polignac number, because 120021200442231 - 27 = 120021200442103 is a prime.

It is a super-2 number, since 2×1200212004422312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021200442211) 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 15 ways as a sum of consecutive naturals, for example, 1408557736 + ... + 1408642941.

It is an arithmetic number, because the mean of its divisors is an integer number (10919469827928).

Almost surely, 2120021200442231 is an apocalyptic number.

120021200442231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120021200442231 is a deficient number, since it is larger than the sum of its proper divisors (54690316804617).

120021200442231 is a wasteful number, since it uses less digits than its factorization.

120021200442231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817201982.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 120021200442231 its reverse (132244002120021), we get a palindrome (252265202562252).

The spelling of 120021200442231 in words is "one hundred twenty trillion, twenty-one billion, two hundred million, four hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 3 11 33 1291 3873 14201 42603 2817200677 8451602031 30989207447 92967622341 3637006074007 10911018222021 40007066814077 120021200442231