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111121120122120 = 23345619710157389
BaseRepresentation
bin11001010001000001100110…
…111001000101010100001000
3112120110002000220211220210000
4121101001212321011110020
5104031102023222401440
61032200200550523000
732256143642362263
oct3121014671052410
9476402026756700
10111121120122120
1132452225429569
1210568026366460
134a008a482bbc4
141d62410389cda
15cca7ae43c730
hex651066e45508

111121120122120 has 640 divisors, whose sum is σ = 387330807679200. Its totient is φ = 28559941632000.

The previous prime is 111121120121941. The next prime is 111121120122191. The reversal of 111121120122120 is 21221021121111.

It is a happy number.

111121120122120 is a `hidden beast` number, since 1 + 1 + 11 + 211 + 201 + 221 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 16569572689476 + 94551547432644 = 4070574^2 + 9723762^2 .

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 = 111121120122093 and 111121120122102.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1936250386 + ... + 1936307774.

Almost surely, 2111121120122120 is an apocalyptic number.

111121120122120 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 111121120122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193665403839600).

111121120122120 is an abundant number, since it is smaller than the sum of its proper divisors (276209687557080).

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

111121120122120 is a wasteful number, since it uses less digits than its factorization.

111121120122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57671 (or 57658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111121120122120 its reverse (21221021121111), we get a palindrome (132342141243231).

The spelling of 111121120122120 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".