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12100112012020 = 2254158921250441
BaseRepresentation
bin1011000000010100011011…
…1000001101001011110100
31120211202111121111020122111
42300011012320031023310
53041222012133341040
641422414213540404
72356130025042454
oct260050670151364
946752447436574
1012100112012020
1139456a086621a
1214350bb044704
1369a06048a416
142db911879d64
1515eb41dd3dea
hexb0146e0d2f4

12100112012020 has 48 divisors (see below), whose sum is σ = 26030542776336. Its totient is φ = 4721895936000.

The previous prime is 12100112012011. The next prime is 12100112012039. The reversal of 12100112012020 is 2021021100121.

It can be written as a sum of positive squares in 8 ways, for example, as 193112786916 + 11906999225104 = 439446^2 + 3450652^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48190000 + ... + 48440440.

It is an arithmetic number, because the mean of its divisors is an integer number (542302974507).

Almost surely, 212100112012020 is an apocalyptic number.

12100112012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100112012020 is an abundant number, since it is smaller than the sum of its proper divisors (13930430764316).

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

12100112012020 is a wasteful number, since it uses less digits than its factorization.

12100112012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309412 (or 309410 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12100112012020 its reverse (2021021100121), we get a palindrome (14121133112141).

The spelling of 12100112012020 in words is "twelve trillion, one hundred billion, one hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 58921 117842 235684 250441 294605 500882 589210 1001764 1178420 1252205 2415761 2504410 4831522 5008820 9663044 10268081 12078805 20536162 24157610 41072324 48315220 51340405 102680810 205361620 14756234161 29512468322 59024936644 73781170805 147562341610 295124683220 605005600601 1210011201202 2420022402404 3025028003005 6050056006010 12100112012020