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1120220121024 = 2633991654163
BaseRepresentation
bin10000010011010010010…
…100101000011111000000
310222002111001210100021000
4100103102110220133000
5121323202322333044
62214342204532000
7143635045630464
oct20232224503700
93862431710230
101120220121024
113a20a0066214
12161133551000
1381836c63724
143c30cacc4a4
151e215becd69
hex104d25287c0

1120220121024 has 112 divisors (see below), whose sum is σ = 3296567895040. Its totient is φ = 373029338880.

The previous prime is 1120220120969. The next prime is 1120220121049. The reversal of 1120220121024 is 4201210220211.

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 = 1120220120988 and 1120220121006.

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, 1385367 + ... + 2039529.

It is an arithmetic number, because the mean of its divisors is an integer number (29433641920).

Almost surely, 21120220121024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120220121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648283947520).

1120220121024 is an abundant number, since it is smaller than the sum of its proper divisors (2176347774016).

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

1120220121024 is an equidigital number, since it uses as much as digits as its factorization.

1120220121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655175 (or 655159 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1120220121024 its reverse (4201210220211), we get a palindrome (5321430341235).

The spelling of 1120220121024 in words is "one trillion, one hundred twenty billion, two hundred twenty million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 991 1728 1982 2973 3964 5946 7928 8919 11892 15856 17838 23784 26757 31712 35676 47568 53514 63424 71352 95136 107028 142704 190272 214056 285408 428112 570816 654163 856224 1308326 1712448 1962489 2616652 3924978 5233304 5887467 7849956 10466608 11774934 15699912 17662401 20933216 23549868 31399824 35324802 41866432 47099736 62799648 70649604 94199472 125599296 141299208 188398944 282598416 376797888 565196832 648275533 1130393664 1296551066 1944826599 2593102132 3889653198 5186204264 5834479797 7779306396 10372408528 11668959594 15558612792 17503439391 20744817056 23337919188 31117225584 35006878782 41489634112 46675838376 62234451168 70013757564 93351676752 124468902336 140027515128 186703353504 280055030256 373406707008 560110060512 1120220121024