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1213320112000 = 2753149508943
BaseRepresentation
bin10001101001111111100…
…000111010011110000000
311021222210100211220112221
4101221333200322132000
5124334334422041000
62325220324500424
7153442126533553
oct21517740723600
94258710756487
101213320112000
11428625632417
1217719654a714
138a5530a9899
1442a215c069a
15218642c061a
hex11a7f83a780

1213320112000 has 128 divisors (see below), whose sum is σ = 3036868848000. Its totient is φ = 482069862400.

The previous prime is 1213320111943. The next prime is 1213320112019. The reversal of 1213320112000 is 2110233121.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 2129529 + ... + 2638471.

It is an arithmetic number, because the mean of its divisors is an integer number (23725537875).

Almost surely, 21213320112000 is an apocalyptic number.

1213320112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213320112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518434424000).

1213320112000 is an abundant number, since it is smaller than the sum of its proper divisors (1823548736000).

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

1213320112000 is an equidigital number, since it uses as much as digits as its factorization.

1213320112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509121 (or 509099 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1213320112000 its reverse (2110233121), we get a palindrome (1215430345121).

The spelling of 1213320112000 in words is "one trillion, two hundred thirteen billion, three hundred twenty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 149 160 200 250 298 320 400 500 596 640 745 800 1000 1192 1490 1600 2000 2384 2980 3200 3725 4000 4768 5960 7450 8000 9536 11920 14900 16000 18625 19072 23840 29800 37250 47680 59600 74500 95360 119200 149000 238400 298000 476800 508943 596000 1017886 1192000 2035772 2384000 2544715 4071544 5089430 8143088 10178860 12723575 16286176 20357720 25447150 32572352 40715440 50894300 63617875 65144704 75832507 81430880 101788600 127235750 151665014 162861760 203577200 254471500 303330028 325723520 379162535 407154400 508943000 606660056 758325070 814308800 1017886000 1213320112 1516650140 1628617600 1895812675 2035772000 2426640224 3033300280 3791625350 4071544000 4853280448 6066600560 7583250700 8143088000 9479063375 9706560896 12133201120 15166501400 18958126750 24266402240 30333002800 37916253500 48532804480 60666005600 75832507000 121332011200 151665014000 242664022400 303330028000 606660056000 1213320112000