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32130121311200 = 2552113651150149
BaseRepresentation
bin1110100111000111000000…
…11101111010001111100000
311012202121110101202002202102
413103203200131322033200
513202404442023424300
6152200212435305532
76524216233653503
oct723434035721740
9135677411662672
1032130121311200
11a268342938960
12372b04874b2a8
1314c0b1ba40b03
147d116b48313a
153aaba15ce0d5
hex1d38e077a3e0

32130121311200 has 72 divisors (see below), whose sum is σ = 85568354915400. Its totient is φ = 11683680473600.

The previous prime is 32130121311191. The next prime is 32130121311203. The reversal of 32130121311200 is 211312103123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130121311203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1825566275 + ... + 1825583874.

It is an arithmetic number, because the mean of its divisors is an integer number (1188449373825).

Almost surely, 232130121311200 is an apocalyptic number.

It is an amenable number.

32130121311200 is an abundant number, since it is smaller than the sum of its proper divisors (53438233604200).

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

32130121311200 is a wasteful number, since it uses less digits than its factorization.

32130121311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651150180 (or 3651150167 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 32130121311200 its reverse (211312103123), we get a palindrome (32341433414323).

The spelling of 32130121311200 in words is "thirty-two trillion, one hundred thirty billion, one hundred twenty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 3651150149 7302300298 14604600596 18255750745 29209201192 36511501490 40162651639 58418402384 73023002980 80325303278 91278753725 116836804768 146046005960 160650606556 182557507450 200813258195 292092011920 321301213112 365115014900 401626516390 584184023840 642602426224 730230029800 803253032780 1004066290975 1285204852448 1460460059600 1606506065560 2008132581950 2920920119200 3213012131120 4016265163900 6426024262240 8032530327800 16065060655600 32130121311200