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121211020001120 = 2557195696006579
BaseRepresentation
bin11011100011110110100011…
…110010100011111101100000
3120220011122211101120012112112
4123203312203302203331200
5111341410132110013440
61105443323542214452
734350131033305310
oct3343664362437540
9526148741505475
10121211020001120
113569233990a245
1211717611424428
1352831c4b22aaa
1421d0904d93440
15e02e9ba31965
hex6e3da3ca3f60

121211020001120 has 96 divisors (see below), whose sum is σ = 344494477958400. Its totient is φ = 39370797467136.

The previous prime is 121211020001089. The next prime is 121211020001129. The reversal of 121211020001120 is 21100020112121.

It is a super-2 number, since 2×1212110200011202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121211020001095 and 121211020001104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211020001129) 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, 2847982010 + ... + 2848024569.

It is an arithmetic number, because the mean of its divisors is an integer number (3588484145400).

Almost surely, 2121211020001120 is an apocalyptic number.

121211020001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211020001120 is an abundant number, since it is smaller than the sum of its proper divisors (223283457957280).

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

121211020001120 is a wasteful number, since it uses less digits than its factorization.

121211020001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696006620 (or 5696006612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121211020001120 its reverse (21100020112121), we get a palindrome (142311040113241).

The spelling of 121211020001120 in words is "one hundred twenty-one trillion, two hundred eleven billion, twenty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 10640 21280 5696006579 11392013158 22784026316 28480032895 39872046053 45568052632 56960065790 79744092106 91136105264 108224125001 113920131580 159488184212 182272210528 199360230265 216448250002 227840263160 318976368424 398720460530 432896500004 455680526320 541120625005 637952736848 757568875007 797440921060 865793000008 911361052640 1082241250010 1275905473696 1515137750014 1594881842120 1731586000016 2164482500020 3030275500028 3189763684240 3463172000032 3787844375035 4328965000040 6060551000056 6379527368480 7575688750070 8657930000080 12121102000112 15151377500140 17315860000160 24242204000224 30302755000280 60605510000560 121211020001120