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212120011000020 = 22357944751057173
BaseRepresentation
bin110000001110110000001001…
…111001111100100011010100
31000211001110211021120122001110
4300032300021321330203110
5210300333240304000040
62031050330543455020
762452110421105464
oct6016601171744324
91024043737518043
10212120011000020
11616516562857a2
121b95a3425b7470
139148aa62178c6
143a549401adba4
15197cadcdd9980
hexc0ec09e7c8d4

212120011000020 has 48 divisors (see below), whose sum is σ = 601454208418560. Its totient is φ = 55849319350656.

The previous prime is 212120011000019. The next prime is 212120011000061. The reversal of 212120011000020 is 20000110021212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22375523847 + ... + 22375533326.

It is an arithmetic number, because the mean of its divisors is an integer number (12530296008720).

Almost surely, 2212120011000020 is an apocalyptic number.

212120011000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120011000020 is an abundant number, since it is smaller than the sum of its proper divisors (389334197418540).

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

212120011000020 is a wasteful number, since it uses less digits than its factorization.

212120011000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44751057264 (or 44751057262 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212120011000020 its reverse (20000110021212), we get a palindrome (232120121021232).

The spelling of 212120011000020 in words is "two hundred twelve trillion, one hundred twenty billion, eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 44751057173 89502114346 134253171519 179004228692 223755285865 268506343038 447510571730 537012686076 671265857595 895021143460 1342531715190 2685063430380 3535333516667 7070667033334 10606000550001 14141334066668 17676667583335 21212001100002 35353335166670 42424002200004 53030002750005 70706670333340 106060005500010 212120011000020