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22121211312 = 2432374151879
BaseRepresentation
bin10100100110100001…
…101110010110110000
32010002122221222010200
4110212201232112300
5330301012230222
614055022155200
71412120123304
oct244641562660
963078858120
1022121211312
119421935522
124354422b00
132116cb1365
1410dbcd3d04
158970c2eac
hex52686e5b0

22121211312 has 60 divisors (see below), whose sum is σ = 63581890320. Its totient is φ = 7174445184.

The previous prime is 22121211289. The next prime is 22121211319. The reversal of 22121211312 is 21311212122.

22121211312 is a `hidden beast` number, since 22 + 121 + 211 + 312 = 666.

It is a super-2 number, since 2×221212113122 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22121211319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2070612 + ... + 2081267.

It is an arithmetic number, because the mean of its divisors is an integer number (1059698172).

Almost surely, 222121211312 is an apocalyptic number.

It is an amenable number.

22121211312 is an abundant number, since it is smaller than the sum of its proper divisors (41460679008).

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

22121211312 is a wasteful number, since it uses less digits than its factorization.

22121211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151930 (or 4151921 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 22121211312 its reverse (21311212122), we get a palindrome (43432423434).

The spelling of 22121211312 in words is "twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 4151879 8303758 12455637 16607516 24911274 33215032 37366911 49822548 66430064 74733822 99645096 149467644 153619523 199290192 298935288 307239046 460858569 597870576 614478092 921717138 1228956184 1382575707 1843434276 2457912368 2765151414 3686868552 5530302828 7373737104 11060605656 22121211312