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1120211001120 = 253511811976099
BaseRepresentation
bin10000010011010001110…
…001110101111100100000
310222002110102122000002210
4100103101301311330200
5121323143004013440
62214341241242120
7143634605255031
oct20232161657440
93862412560083
101120211001120
113a20959a7302
12161130493340
13818350bc633
143c30b7d6a88
151e214eeaa80
hex104d1c75f20

1120211001120 has 96 divisors (see below), whose sum is σ = 3531654302400. Its totient is φ = 298469841920.

The previous prime is 1120211001113. The next prime is 1120211001163. The reversal of 1120211001120 is 211001120211.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1120211001096 and 1120211001105.

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, 421170 + ... + 1554929.

It is an arithmetic number, because the mean of its divisors is an integer number (36788065650).

Almost surely, 21120211001120 is an apocalyptic number.

1120211001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120211001120 is an abundant number, since it is smaller than the sum of its proper divisors (2411443301280).

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

1120211001120 is a wasteful number, since it uses less digits than its factorization.

1120211001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977298 (or 1977290 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1120211001120 its reverse (211001120211), we get a palindrome (1331212121331).

The spelling of 1120211001120 in words is "one trillion, one hundred twenty billion, two hundred eleven million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1181 2362 3543 4724 5905 7086 9448 11810 14172 17715 18896 23620 28344 35430 37792 47240 56688 70860 94480 113376 141720 188960 283440 566880 1976099 3952198 5928297 7904396 9880495 11856594 15808792 19760990 23713188 29641485 31617584 39521980 47426376 59282970 63235168 79043960 94852752 118565940 158087920 189705504 237131880 316175840 474263760 948527520 2333772919 4667545838 7001318757 9335091676 11668864595 14002637514 18670183352 23337729190 28005275028 35006593785 37340366704 46675458380 56010550056 70013187570 74680733408 93350916760 112021100112 140026375140 186701833520 224042200224 280052750280 373403667040 560105500560 1120211001120