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11211012120 = 233571141101293
BaseRepresentation
bin10100111000011101…
…00111100000011000
31001221022111102110010
422130032213200120
5140430004341440
65052242521520
7544551013350
oct123416474030
931838442403
1011211012120
114833362380
12220a6662a0
1310988690a9
14784d1bb60
15459371580
hex29c3a7818

11211012120 has 512 divisors, whose sum is σ = 43528181760. Its totient is φ = 2242560000.

The previous prime is 11211012119. The next prime is 11211012133. The reversal of 11211012120 is 2121011211.

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 = 11211012096 and 11211012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38262694 + ... + 38262986.

It is an arithmetic number, because the mean of its divisors is an integer number (85015980).

Almost surely, 211211012120 is an apocalyptic number.

11211012120 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 11211012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764090880).

11211012120 is an abundant number, since it is smaller than the sum of its proper divisors (32317169640).

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

11211012120 is a wasteful number, since it uses less digits than its factorization.

11211012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

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

Adding to 11211012120 its reverse (2121011211), we get a palindrome (13332023331).

Subtracting from 11211012120 its reverse (2121011211), we obtain a palindrome (9090000909).

The spelling of 11211012120 in words is "eleven billion, two hundred eleven million, twelve thousand, one hundred twenty".