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112221120001020 = 223561201715201541
BaseRepresentation
bin11001100001000010000011…
…111111100111001111111100
3112201100020022210200112101120
4121201002003333213033330
5104202112323210013040
61034401400521510540
732431464653153622
oct3141020377471774
9481306283615346
10112221120001020
1132836789707578
1210705256042450
134a80538594004
141d9d761821512
15ce91dedb77d0
hex661083fe73fc

112221120001020 has 96 divisors (see below), whose sum is σ = 319528629650496. Its totient is φ = 29420452454400.

The previous prime is 112221120001013. The next prime is 112221120001057. The reversal of 112221120001020 is 20100021122211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218551 + ... + 14982990.

It is an arithmetic number, because the mean of its divisors is an integer number (3328423225526).

Almost surely, 2112221120001020 is an apocalyptic number.

112221120001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112221120001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159764314825248).

112221120001020 is an abundant number, since it is smaller than the sum of its proper divisors (207307509649476).

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

112221120001020 is a wasteful number, since it uses less digits than its factorization.

112221120001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15203631 (or 15203629 counting only the distinct ones).

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

Adding to 112221120001020 its reverse (20100021122211), we get a palindrome (132321141123231).

The spelling of 112221120001020 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 2017 3660 4034 6051 8068 10085 12102 20170 24204 30255 40340 60510 121020 123037 246074 369111 492148 615185 738222 1230370 1476444 1845555 2460740 3691110 7382220 15201541 30403082 45604623 60806164 76007705 91209246 152015410 182418492 228023115 304030820 456046230 912092460 927294001 1854588002 2781882003 3709176004 4636470005 5563764006 9272940010 11127528012 13909410015 18545880020 27818820030 30661508197 55637640060 61323016394 91984524591 122646032788 153307540985 183969049182 306615081970 367938098364 459922622955 613230163940 919845245910 1839690491820 1870352000017 3740704000034 5611056000051 7481408000068 9351760000085 11222112000102 18703520000170 22444224000204 28055280000255 37407040000340 56110560000510 112221120001020