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1120012211120 = 245116120864609
BaseRepresentation
bin10000010011000101111…
…011100001001110110000
310222001221120120102111012
4100103011323201032300
5121322241111223440
62214305420410052
7143626642500245
oct20230573411660
93861846512435
101120012211120
113a1aa3770450
121610959a6928
1381802b6a00a
143c2cd24b5cc
151e20282ee65
hex104c5ee13b0

1120012211120 has 80 divisors (see below), whose sum is σ = 2887328190240. Its totient is φ = 400600473600.

The previous prime is 1120012210997. The next prime is 1120012211207. The reversal of 1120012211120 is 211122100211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11200122111202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1120012211095 and 1120012211104.

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, 10378625 + ... + 10485984.

It is an arithmetic number, because the mean of its divisors is an integer number (36091602378).

Almost surely, 21120012211120 is an apocalyptic number.

1120012211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120012211120 is an abundant number, since it is smaller than the sum of its proper divisors (1767315979120).

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

1120012211120 is a wasteful number, since it uses less digits than its factorization.

1120012211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20864694 (or 20864688 counting only the distinct ones).

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

Adding to 1120012211120 its reverse (211122100211), we get a palindrome (1331134311331).

The spelling of 1120012211120 in words is "one trillion, one hundred twenty billion, twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 976 1220 1342 2440 2684 3355 4880 5368 6710 10736 13420 26840 53680 20864609 41729218 83458436 104323045 166916872 208646090 229510699 333833744 417292180 459021398 834584360 918042796 1147553495 1272741149 1669168720 1836085592 2295106990 2545482298 3672171184 4590213980 5090964596 6363705745 9180427960 10181929192 12727411490 14000152639 18360855920 20363858384 25454822980 28000305278 50909645960 56000610556 70000763195 101819291920 112001221112 140001526390 224002442224 280003052780 560006105560 1120012211120