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20121213312 = 273237472063
BaseRepresentation
bin10010101111010100…
…010101100110000000
31220221021121112122200
4102233110111212000
5312202012311222
613124335233200
71311423330324
oct225724254600
956837545580
1020121213312
11859599a412
123a96678800
131b88837ba5
14d8c439984
157cb710eac
hex4af515980

20121213312 has 96 divisors (see below), whose sum is σ = 59465902080. Its totient is φ = 6525785088.

The previous prime is 20121213293. The next prime is 20121213323. The reversal of 20121213312 is 21331212102.

20121213312 is a `hidden beast` number, since 20 + 121 + 213 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193408 + ... + 278655.

It is an arithmetic number, because the mean of its divisors is an integer number (619436480).

Almost surely, 220121213312 is an apocalyptic number.

It is an amenable number.

20121213312 is an abundant number, since it is smaller than the sum of its proper divisors (39344688768).

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

20121213312 is a wasteful number, since it uses less digits than its factorization.

20121213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472120 (or 472105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20121213312 its reverse (21331212102), we get a palindrome (41452425414).

The spelling of 20121213312 in words is "twenty billion, one hundred twenty-one million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 7104 10656 14208 21312 42624 472063 944126 1416189 1888252 2832378 3776504 4248567 5664756 7553008 8497134 11329512 15106016 16994268 17466331 22659024 30212032 33988536 34932662 45318048 52398993 60424064 67977072 69865324 90636096 104797986 135954144 139730648 157196979 181272192 209595972 271908288 279461296 314393958 419191944 543816576 558922592 628787916 838383888 1117845184 1257575832 1676767776 2235690368 2515151664 3353535552 5030303328 6707071104 10060606656 20121213312