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11120001101220 = 2235116171103179211
BaseRepresentation
bin1010000111010001001110…
…1101110010110110100100
31110101001122222220020101210
42201310103231302312210
52424142230240214340
635352242531351420
72225251664543304
oct241642355626644
943331588806353
1011120001101220
1135a7a697a6430
1212b7169a52570
136287c490571b
142a62d4ac7604
151443cb7cb180
hexa1d13b72da4

11120001101220 has 768 divisors, whose sum is σ = 35715474063360. Its totient is φ = 2562174720000.

The previous prime is 11120001101219. The next prime is 11120001101221. The reversal of 11120001101220 is 2210110002111.

11120001101220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11120001101219) and next prime (11120001101221).

It is a super-2 number, since 2×111200011012202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11120001101196 and 11120001101205.

It is not an unprimeable number, because it can be changed into a prime (11120001101221) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52701426915 + ... + 52701427125.

It is an arithmetic number, because the mean of its divisors is an integer number (46504523520).

Almost surely, 211120001101220 is an apocalyptic number.

11120001101220 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 11120001101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857737031680).

11120001101220 is an abundant number, since it is smaller than the sum of its proper divisors (24595472962140).

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

11120001101220 is a wasteful number, since it uses less digits than its factorization.

11120001101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11120001101220 its reverse (2210110002111), we get a palindrome (13330111103331).

The spelling of 11120001101220 in words is "eleven trillion, one hundred twenty billion, one million, one hundred one thousand, two hundred twenty".