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201212112022000 = 2453175957195029
BaseRepresentation
bin101101110000000001011000…
…011101100010100111110000
3222101102200122001020122012021
4231300001120131202213300
5202333124401134201000
61551535322420441224
760245044465440202
oct5560013035424760
9871380561218167
10201212112022000
1159126639713882
121a698309249214
1388372b3ca0bc1
143798a0a9aa772
15183dec727711a
hexb700587629f0

201212112022000 has 80 divisors (see below), whose sum is σ = 486807490540800. Its totient is φ = 80439087379200.

The previous prime is 201212112021979. The next prime is 201212112022003. The reversal of 201212112022000 is 220211212102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212112022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25079515 + ... + 32115514.

It is an arithmetic number, because the mean of its divisors is an integer number (6085093631760).

Almost surely, 2201212112022000 is an apocalyptic number.

201212112022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212112022000 is an abundant number, since it is smaller than the sum of its proper divisors (285595378518800).

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

201212112022000 is a wasteful number, since it uses less digits than its factorization.

201212112022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57196811 (or 57196795 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201212112022000 its reverse (220211212102), we get a palindrome (201432323234102).

The spelling of 201212112022000 in words is "two hundred one trillion, two hundred twelve billion, one hundred twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1759 2000 3518 7036 8795 14072 17590 28144 35180 43975 70360 87950 140720 175900 219875 351800 439750 703600 879500 1759000 3518000 57195029 114390058 228780116 285975145 457560232 571950290 915120464 1143900580 1429875725 2287801160 2859751450 4575602320 5719502900 7149378625 11439005800 14298757250 22878011600 28597514500 57195029000 100606056011 114390058000 201212112022 402424224044 503030280055 804848448088 1006060560110 1609696896176 2012121120220 2515151400275 4024242240440 5030302800550 8048484480880 10060605601100 12575757001375 20121211202200 25151514002750 40242422404400 50303028005500 100606056011000 201212112022000