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1121201112320 = 2856714987743
BaseRepresentation
bin10000010100001100110…
…010110100010100000000
310222012000102200212022222
4100110030302310110000
5121332204441043240
62215023410550212
7144001260131432
oct20241462642400
93865012625288
101121201112320
113a2553886523
12161367b98368
1381962276753
143c3a30cc652
151e271dc6eb5
hex1050ccb4500

1121201112320 has 144 divisors (see below), whose sum is σ = 2744035660800. Its totient is φ = 438816694272.

The previous prime is 1121201112271. The next prime is 1121201112329. The reversal of 1121201112320 is 232111021211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121201112329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12734369 + ... + 12822111.

It is an arithmetic number, because the mean of its divisors is an integer number (19055803200).

Almost surely, 21121201112320 is an apocalyptic number.

1121201112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121201112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372017830400).

1121201112320 is an abundant number, since it is smaller than the sum of its proper divisors (1622834548480).

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

1121201112320 is an equidigital number, since it uses as much as digits as its factorization.

1121201112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87980 (or 87966 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1121201112320 its reverse (232111021211), we get a palindrome (1353312133531).

The spelling of 1121201112320 in words is "one trillion, one hundred twenty-one billion, two hundred one million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 149 160 256 268 298 320 335 536 596 640 670 745 1072 1192 1280 1340 1490 2144 2384 2680 2980 4288 4768 5360 5960 8576 9536 9983 10720 11920 17152 19072 19966 21440 23840 38144 39932 42880 47680 49915 79864 85760 87743 95360 99830 159728 175486 190720 199660 319456 350972 399320 438715 638912 701944 798640 877430 1277824 1403888 1597280 1754860 2555648 2807776 3194560 3509720 5615552 5878781 6389120 7019440 11231104 11757562 12778240 13073707 14038880 22462208 23515124 26147414 28077760 29393905 47030248 52294828 56155520 58787810 65368535 94060496 104589656 112311040 117575620 130737070 188120992 209179312 235151240 261474140 376241984 418358624 470302480 522948280 752483968 836717248 875938369 940604960 1045896560 1504967936 1673434496 1751876738 1881209920 2091793120 3346868992 3503753476 3762419840 4183586240 4379691845 7007506952 7524839680 8367172480 8759383690 14015013904 16734344960 17518767380 28030027808 35037534760 56060055616 70075069520 112120111232 140150139040 224240222464 280300278080 560600556160 1121201112320