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1122110211120 = 243546431006991
BaseRepresentation
bin10000010101000010111…
…110110000010000110000
310222021100210022212102220
4100111002332300100300
5121341040203223440
62215253524041040
7144032636264313
oct20250276602060
93867323285386
101122110211120
113a297aa62948
12161580533180
1381a78707732
143c44bb3697a
151e2c6aee8d0
hex10542fb0430

1122110211120 has 80 divisors (see below), whose sum is σ = 3479294310912. Its totient is φ = 299164645120.

The previous prime is 1122110211113. The next prime is 1122110211127. The reversal of 1122110211120 is 211120112211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1122110211113) and next prime (1122110211127).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122110211120.

It is not an unprimeable number, because it can be changed into a prime (1122110211127) 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, 610825 + ... + 1617815.

Almost surely, 21122110211120 is an apocalyptic number.

1122110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122110211120 is an abundant number, since it is smaller than the sum of its proper divisors (2357184099792).

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

1122110211120 is a wasteful number, since it uses less digits than its factorization.

1122110211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011650 (or 1011644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1122110211120 its reverse (211120112211), we get a palindrome (1333230323331).

The spelling of 1122110211120 in words is "one trillion, one hundred twenty-two billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4643 9286 13929 18572 23215 27858 37144 46430 55716 69645 74288 92860 111432 139290 185720 222864 278580 371440 557160 1006991 1114320 2013982 3020973 4027964 5034955 6041946 8055928 10069910 12083892 15104865 16111856 20139820 24167784 30209730 40279640 48335568 60419460 80559280 120838920 241677840 4675459213 9350918426 14026377639 18701836852 23377296065 28052755278 37403673704 46754592130 56105510556 70131888195 74807347408 93509184260 112211021112 140263776390 187018368520 224422042224 280527552780 374036737040 561055105560 1122110211120