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22212010012000 = 255331179129113
BaseRepresentation
bin1010000110011101000101…
…11101110110110101100000
32220122110002011112212100111
411003032202331312311200
510402410144030341000
6115124020113301104
74451523212630134
oct503164275666540
986573064485314
1022212010012000
117094073649876
1225a8a05264794
13c517780c5c43
1456b0d1c953c4
15287bba884cba
hex1433a2f76d60

22212010012000 has 96 divisors (see below), whose sum is σ = 56335389836544. Its totient is φ = 8598197376000.

The previous prime is 22212010011973. The next prime is 22212010012069. The reversal of 22212010012000 is 21001021222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89440557 + ... + 89688556.

It is an arithmetic number, because the mean of its divisors is an integer number (586826977464).

Almost surely, 222212010012000 is an apocalyptic number.

22212010012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212010012000 is an abundant number, since it is smaller than the sum of its proper divisors (34123379824544).

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

22212010012000 is a wasteful number, since it uses less digits than its factorization.

22212010012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179129169 (or 179129151 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22212010012000 its reverse (21001021222), we get a palindrome (22233011033222).

The spelling of 22212010012000 in words is "twenty-two trillion, two hundred twelve billion, ten million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3875 4000 4960 6200 7750 12400 15500 24800 31000 62000 124000 179129113 358258226 716516452 895645565 1433032904 1791291130 2866065808 3582582260 4478227825 5553002503 5732131616 7165164520 8956455650 11106005006 14330329040 17912911300 22212010012 22391139125 27765012515 28660658080 35825822600 44424020024 44782278250 55530025030 71651645200 88848040048 89564556500 111060050060 138825062575 143303290400 177696080096 179129113000 222120100120 277650125150 358258226000 444240200240 555300250300 694125312875 716516452000 888480400480 1110600500600 1388250625750 2221201001200 2776501251500 4442402002400 5553002503000 11106005006000 22212010012000