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1121244442120 = 2351110129386111
BaseRepresentation
bin10000010100001111011…
…000000110111000001000
310222012010110020020122101
4100110033120012320020
5121332302034121440
62215031555403144
7144002324335405
oct20241730067010
93865113206571
101121244442120
113a2576290880
1216137a5b34b4
138196b237a9a
143c3a8b6b2ac
151e275ad569a
hex1050f606e08

1121244442120 has 128 divisors (see below), whose sum is σ = 2788912788480. Its totient is φ = 402305920000.

The previous prime is 1121244442099. The next prime is 1121244442139. The reversal of 1121244442120 is 212444421211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12977865 + ... + 13063975.

It is an arithmetic number, because the mean of its divisors is an integer number (21788381160).

Almost surely, 21121244442120 is an apocalyptic number.

1121244442120 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 1121244442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394456394240).

1121244442120 is an abundant number, since it is smaller than the sum of its proper divisors (1667668346360).

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

1121244442120 is a wasteful number, since it uses less digits than its factorization.

1121244442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86527 (or 86523 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 1121244442120 its reverse (212444421211), we get a palindrome (1333688863331).

It can be divided in two parts, 1 and 121244442120, that added together give a palindrome (121244442121).

The spelling of 1121244442120 in words is "one trillion, one hundred twenty-one billion, two hundred forty-four million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 293 404 440 505 586 808 1010 1111 1172 1465 2020 2222 2344 2930 3223 4040 4444 5555 5860 6446 8888 11110 11720 12892 16115 22220 25784 29593 32230 44440 59186 64460 86111 118372 128920 147965 172222 236744 295930 325523 344444 430555 591860 651046 688888 861110 947221 1183720 1302092 1627615 1722220 1894442 2604184 3255230 3444440 3788884 4736105 6510460 7577768 8697211 9472210 13020920 17394422 18944420 25230523 34788844 37888840 43486055 50461046 69577688 86972110 95669321 100922092 126152615 173944220 191338642 201844184 252305230 277535753 347888440 382677284 478346605 504610460 555071506 765354568 956693210 1009220920 1110143012 1387678765 1913386420 2220286024 2548282823 2775357530 3826772840 5096565646 5550715060 10193131292 11101430120 12741414115 20386262584 25482828230 28031111053 50965656460 56062222106 101931312920 112124444212 140155555265 224248888424 280311110530 560622221060 1121244442120