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2125012022440 = 235792221302779
BaseRepresentation
bin11110111011000100100…
…101100011010010101000
321112011000202000120201021
4132323010211203102220
5234304011034204230
64304114514302224
7306345531106546
oct36730445432250
97464022016637
102125012022440
1174a23798460a
122a3a12287974
13125506c29598
1474bcb706d96
153a422eb1c7a
hex1eec49634a8

2125012022440 has 64 divisors (see below), whose sum is σ = 4843995552000. Its totient is φ = 838864615680.

The previous prime is 2125012022407. The next prime is 2125012022447. The reversal of 2125012022440 is 442202105212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2125012022447) 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, 6866971 + ... + 7169749.

It is an arithmetic number, because the mean of its divisors is an integer number (75687430500).

Almost surely, 22125012022440 is an apocalyptic number.

2125012022440 is a gapful number since it is divisible by the number (20) 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 2125012022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421997776000).

2125012022440 is an abundant number, since it is smaller than the sum of its proper divisors (2718983529560).

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

2125012022440 is a wasteful number, since it uses less digits than its factorization.

2125012022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305090 (or 305086 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 2125012022440 its reverse (442202105212), we get a palindrome (2567214127652).

The spelling of 2125012022440 in words is "two trillion, one hundred twenty-five billion, twelve million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 2221 3160 4442 8884 11105 17768 22210 44420 88840 175459 302779 350918 605558 701836 877295 1211116 1403672 1513895 1754590 2422232 3027790 3509180 6055580 7018360 12111160 23919541 47839082 95678164 119597705 191356328 239195410 478390820 672472159 956781640 1344944318 2689888636 3362360795 5379777272 6724721590 13449443180 26898886360 53125300561 106250601122 212501202244 265626502805 425002404488 531253005610 1062506011220 2125012022440