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120221101002012 = 22332063312460627
BaseRepresentation
bin11011010101011100101000…
…000001010000110100011100
3120202200000200020022200111220
4123111130220001100310130
5111224200303324031022
61103404451130413340
734215454645533363
oct3325345001206434
9522600606280456
10120221101002012
11353405343a354a
12115977a3591250
135210a5526554a
142198a377567da
15dd736032885c
hex6d5728050d1c

120221101002012 has 24 divisors (see below), whose sum is σ = 280524652133376. Its totient is φ = 40072450363248.

The previous prime is 120221101002011. The next prime is 120221101002029. The reversal of 120221101002012 is 210200101122021.

It is a super-3 number, since 3×1202211010020123 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 120221101001982 and 120221101002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221101002011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155845558 + ... + 156615069.

It is an arithmetic number, because the mean of its divisors is an integer number (11688527172224).

Almost surely, 2120221101002012 is an apocalyptic number.

120221101002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120221101002012 is an abundant number, since it is smaller than the sum of its proper divisors (160303551131364).

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

120221101002012 is a wasteful number, since it uses less digits than its factorization.

120221101002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312492697 (or 312492695 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120221101002012 its reverse (210200101122021), we get a palindrome (330421202124033).

The spelling of 120221101002012 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred one million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 32063 64126 96189 128252 192378 384756 312460627 624921254 937381881 1249842508 1874763762 3749527524 10018425083501 20036850167002 30055275250503 40073700334004 60110550501006 120221101002012