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11122121221020 = 22325222931277169
BaseRepresentation
bin1010000111011001001000…
…0101011010001110011100
31110101021010202021111000100
42201312102011122032130
52424211101013033040
635353233145101100
72225355350345505
oct241662205321634
943337122244010
1011122121221020
1135a8957526857
1212b765ba87790
13628a71c19394
142a64564cdbac
151444a29b9b30
hexa1d9215a39c

11122121221020 has 72 divisors (see below), whose sum is σ = 33737374092240. Its totient is φ = 2965874987520.

The previous prime is 11122121221009. The next prime is 11122121221027. The reversal of 11122121221020 is 2012212122111.

11122121221020 is a `hidden beast` number, since 1 + 1 + 1 + 221 + 212 + 210 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11122121220984 and 11122121221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122121221027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39988996 + ... + 40266164.

It is an arithmetic number, because the mean of its divisors is an integer number (468574640170).

Almost surely, 211122121221020 is an apocalyptic number.

11122121221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122121221020 is an abundant number, since it is smaller than the sum of its proper divisors (22615252871220).

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

11122121221020 is a wasteful number, since it uses less digits than its factorization.

11122121221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500115 (or 500110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11122121221020 its reverse (2012212122111), we get a palindrome (13134333343131).

The spelling of 11122121221020 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 222931 277169 445862 554338 668793 831507 891724 1108676 1114655 1337586 1385845 1663014 2006379 2229310 2494521 2675172 2771690 3326028 3343965 4012758 4157535 4458620 4989042 5543380 6687930 8025516 8315070 9978084 10031895 12472605 13375860 16630140 20063790 24945210 40127580 49890420 61789562339 123579124678 185368687017 247158249356 308947811695 370737374034 556106061051 617895623390 741474748068 926843435085 1112212122102 1235791246780 1853686870170 2224424244204 2780530305255 3707373740340 5561060610510 11122121221020