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1110022120992 = 253471991236259
BaseRepresentation
bin10000001001110010011…
…110010110011000100000
310221010011100110021011010
4100021302132112120200
5121141311130332432
62205534230220520
7143124245231121
oct20116236263040
93833140407133
101110022120992
11398837604914
1215b1681b4740
13808a023c395
143ba22548048
151dd1a77d3cc
hex10272796620

1110022120992 has 96 divisors (see below), whose sum is σ = 2990760192000. Its totient is φ = 360314811648.

The previous prime is 1110022120973. The next prime is 1110022121003. The reversal of 1110022120992 is 2990212200111.

It is a tau number, because it is divible by the number of its divisors (96).

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, 279759 + ... + 1516017.

It is an arithmetic number, because the mean of its divisors is an integer number (31153752000).

Almost surely, 21110022120992 is an apocalyptic number.

1110022120992 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 1110022120992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495380096000).

1110022120992 is an abundant number, since it is smaller than the sum of its proper divisors (1880738071008).

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

1110022120992 is a wasteful number, since it uses less digits than its factorization.

1110022120992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236518 (or 1236510 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 1110022120992 in words is "one trillion, one hundred ten billion, twenty-two million, one hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 199 282 376 398 564 597 752 796 1128 1194 1504 1592 2256 2388 3184 4512 4776 6368 9353 9552 18706 19104 28059 37412 56118 74824 112236 149648 224472 299296 448944 897888 1236259 2472518 3708777 4945036 7417554 9890072 14835108 19780144 29670216 39560288 58104173 59340432 116208346 118680864 174312519 232416692 246015541 348625038 464833384 492031082 697250076 738046623 929666768 984062164 1394500152 1476093246 1859333536 1968124328 2789000304 2952186492 3936248656 5578000608 5904372984 7872497312 11562730427 11808745968 23125460854 23617491936 34688191281 46250921708 69376382562 92501843416 138752765124 185003686832 277505530248 370007373664 555011060496 1110022120992