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1202002202112 = 29343144712577
BaseRepresentation
bin10001011111011100111…
…010100000111000000000
311020220120121012111221020
4101133130322200320000
5124143200030431422
62320105302425440
7152561510065665
oct21373472407000
94226517174836
101202002202112
114238479a8188
12174b58132280
138946b35349a
144226a3d7a6c
152140088595c
hex117dcea0e00

1202002202112 has 160 divisors (see below), whose sum is σ = 3279204141312. Its totient is φ = 391048003584.

The previous prime is 1202002202087. The next prime is 1202002202117. The reversal of 1202002202112 is 2112022002021.

It is a junction number, because it is equal to n+sod(n) for n = 1202002202091 and 1202002202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202002202117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95565168 + ... + 95577744.

Almost surely, 21202002202112 is an apocalyptic number.

1202002202112 is a gapful number since it is divisible by the number (12) 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 1202002202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639602070656).

1202002202112 is an abundant number, since it is smaller than the sum of its proper divisors (2077201939200).

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

1202002202112 is a wasteful number, since it uses less digits than its factorization.

1202002202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14088 (or 14072 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1202002202112 its reverse (2112022002021), we get a palindrome (3314024204133).

The spelling of 1202002202112 in words is "one trillion, two hundred two billion, two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1032 1376 1447 1536 2064 2752 2894 4128 4341 5504 5788 8256 8682 11008 11576 12577 16512 17364 22016 23152 25154 33024 34728 37731 46304 50308 62221 66048 69456 75462 92608 100616 124442 138912 150924 185216 186663 201232 248884 277824 301848 370432 373326 402464 497768 540811 555648 603696 740864 746652 804928 995536 1081622 1111296 1207392 1493304 1609856 1622433 1991072 2163244 2222592 2414784 2986608 3219712 3244866 3982144 4326488 4829568 5973216 6439424 6489732 7964288 8652976 9659136 11946432 12979464 15928576 17305952 18198919 19318272 23892864 25958928 31857152 34611904 36397838 47785728 51917856 54596757 69223808 72795676 95571456 103835712 109193514 138447616 145591352 207671424 218387028 276895232 291182704 415342848 436774056 582365408 782553517 830685696 873548112 1164730816 1565107034 1747096224 2329461632 2347660551 3130214068 3494192448 4658923264 4695321102 6260428136 6988384896 9317846528 9390642204 12520856272 13976769792 18781284408 25041712544 27953539584 37562568816 50083425088 75125137632 100166850176 150250275264 200333700352 300500550528 400667400704 601001101056 1202002202112