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120021222000012 = 22349149669410119
BaseRepresentation
bin11011010010100010011110…
…010011011000010110001100
3120201221220202022201100001220
4123102202132103120112030
5111212411430313000022
61103132553242003340
734165150524205254
oct3322423623302614
9521856668640056
10120021222000012
11352737949659a3
1211564b004a6550
1351c7c5002c628
14218d0b5770964
15dd206280585c
hex6d289e4d858c

120021222000012 has 48 divisors (see below), whose sum is σ = 280626217670400. Its totient is φ = 39924692015040.

The previous prime is 120021221999989. The next prime is 120021222000013. The reversal of 120021222000012 is 210000222120021.

It is a super-3 number, since 3×1200212220000123 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120021221999955 and 120021222000000.

It is not an unprimeable number, because it can be changed into a prime (120021222000013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292444689 + ... + 292854807.

It is an arithmetic number, because the mean of its divisors is an integer number (5846379534800).

Almost surely, 2120021222000012 is an apocalyptic number.

120021222000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120021222000012 is an abundant number, since it is smaller than the sum of its proper divisors (160604995670388).

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

120021222000012 is a wasteful number, since it uses less digits than its factorization.

120021222000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460286 (or 460284 counting only the distinct ones).

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

Adding to 120021222000012 its reverse (210000222120021), we get a palindrome (330021444120033).

The spelling of 120021222000012 in words is "one hundred twenty trillion, twenty-one billion, two hundred twenty-two million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 491 982 1473 1964 2946 5892 49669 99338 149007 198676 298014 410119 596028 820238 1230357 1640476 2460714 4921428 24387479 48774958 73162437 97549916 146324874 201368429 292649748 402736858 604105287 805473716 1208210574 2416421148 20370200611 40740401222 61110601833 81480802444 122221203666 244442407332 10001768500001 20003537000002 30005305500003 40007074000004 60010611000006 120021222000012