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1120125203040 = 25352516992717
BaseRepresentation
bin10000010011001100101…
…010100011001001100000
310222002020110012000021010
4100103030222203021200
5121323004022444130
62214324534300520
7143632514062614
oct20231452431140
93862213160233
101120125203040
113a20515259a8
121611077b7740
13818203ac13c
143c300261344
151e20c6ee0b0
hex104ccaa3260

1120125203040 has 96 divisors (see below), whose sum is σ = 3528572634720. Its totient is φ = 298684964864.

The previous prime is 1120125203033. The next prime is 1120125203117. The reversal of 1120125203040 is 403025210211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1120125202998 and 1120125203016.

It is a congruent number.

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, 12034762 + ... + 12127478.

It is an arithmetic number, because the mean of its divisors is an integer number (36755964945).

Almost surely, 21120125203040 is an apocalyptic number.

1120125203040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120125203040 is an abundant number, since it is smaller than the sum of its proper divisors (2408447431680).

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

1120125203040 is a wasteful number, since it uses less digits than its factorization.

1120125203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117904 (or 117896 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 1120125203040 in words is "one trillion, one hundred twenty billion, one hundred twenty-five million, two hundred three thousand, forty".

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 25169 50338 75507 92717 100676 125845 151014 185434 201352 251690 278151 302028 370868 377535 402704 463585 503380 556302 604056 741736 755070 805408 927170 1006760 1112604 1208112 1390755 1483472 1510140 1854340 2013520 2225208 2416224 2781510 2966944 3020280 3708680 4027040 4450416 5563020 6040560 7417360 8900832 11126040 12081120 14834720 22252080 44504160 2333594173 4667188346 7000782519 9334376692 11667970865 14001565038 18668753384 23335941730 28003130076 35003912595 37337506768 46671883460 56006260152 70007825190 74675013536 93343766920 112012520304 140015650380 186687533840 224025040608 280031300760 373375067680 560062601520 1120125203040