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121112021013000 = 2335373553022927
BaseRepresentation
bin11011100010011010010110…
…111111011001001000001000
3120212211012021222111112102220
4123202122112333121020020
5111333244404334404000
61105330032214254040
734340024532633633
oct3342322677311010
9525735258445386
10121112021013000
1135654357529196
12117003a2957320
135276a78815c94
1421c9bd2c64c1a
15e006056281a0
hex6e2696fd9208

121112021013000 has 128 divisors (see below), whose sum is σ = 383045800849920. Its totient is φ = 31854120537600.

The previous prime is 121112021012933. The next prime is 121112021013001. The reversal of 121112021013000 is 310120211121.

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

It is not an unprimeable number, because it can be changed into a prime (121112021013001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276292464 + ... + 276730463.

It is an arithmetic number, because the mean of its divisors is an integer number (2992545319140).

Almost surely, 2121112021013000 is an apocalyptic number.

121112021013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121112021013000 is an abundant number, since it is smaller than the sum of its proper divisors (261933779836920).

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

121112021013000 is a wasteful number, since it uses less digits than its factorization.

121112021013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553023024 (or 553023010 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 121112021013000 its reverse (310120211121), we get a palindrome (121422141224121).

The spelling of 121112021013000 in words is "one hundred twenty-one trillion, one hundred twelve billion, twenty-one million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 125 146 150 200 219 250 292 300 365 375 438 500 584 600 730 750 876 1000 1095 1460 1500 1752 1825 2190 2920 3000 3650 4380 5475 7300 8760 9125 10950 14600 18250 21900 27375 36500 43800 54750 73000 109500 219000 553022927 1106045854 1659068781 2212091708 2765114635 3318137562 4424183416 5530229270 6636275124 8295343905 11060458540 13272550248 13825573175 16590687810 22120917080 27651146350 33181375620 40370673671 41476719525 55302292700 66362751240 69127865875 80741347342 82953439050 110604585400 121112021013 138255731750 161482694684 165906878100 201853368355 207383597625 242224042026 276511463500 322965389368 331813756200 403706736710 414767195250 484448084052 553022927000 605560105065 807413473420 829534390500 968896168104 1009266841775 1211120210130 1614826946840 1659068781000 2018533683550 2422240420260 3027800525325 4037067367100 4844480840520 5046334208875 6055601050650 8074134734200 10092668417750 12111202101300 15139002626625 20185336835500 24222404202600 30278005253250 40370673671000 60556010506500 121112021013000