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121011110020000 = 255410515756951
BaseRepresentation
bin11011100000111100011000…
…001110100000001110100000
3120212110112211022122221201201
4123200330120032200032200
5111330121223131120000
61105211423025410544
734326523054433104
oct3340743016401640
9525415738587651
10121011110020000
1135615583942612
12116a491ba99a54
13526a3b6361335
1421c4d7cc25904
15decb9b43e96a
hex6e0f183a03a0

121011110020000 has 120 divisors (see below), whose sum is σ = 297988793337312. Its totient is φ = 48358380000000.

The previous prime is 121011110019973. The next prime is 121011110020007. The reversal of 121011110020000 is 20011110121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121011110020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18141525 + ... + 23898475.

Almost surely, 2121011110020000 is an apocalyptic number.

121011110020000 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 121011110020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148994396668656).

121011110020000 is an abundant number, since it is smaller than the sum of its proper divisors (176977683317312).

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

121011110020000 is an equidigital number, since it uses as much as digits as its factorization.

121011110020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758032 (or 5758009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121011110020000 its reverse (20011110121), we get a palindrome (121031121130121).

It can be divided in two parts, 121011 and 110020000, that added together give a palindrome (110141011).

The spelling of 121011110020000 in words is "one hundred twenty-one trillion, eleven billion, one hundred ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1051 1250 2000 2102 2500 4000 4204 5000 5255 8408 10000 10510 16816 20000 21020 26275 33632 42040 52550 84080 105100 131375 168160 210200 262750 420400 525500 656875 840800 1051000 1313750 2102000 2627500 4204000 5255000 5756951 10510000 11513902 21020000 23027804 28784755 46055608 57569510 92111216 115139020 143923775 184222432 230278040 287847550 460556080 575695100 719618875 921112160 1151390200 1439237750 2302780400 2878475500 3598094375 4605560800 5756951000 6050555501 7196188750 11513902000 12101111002 14392377500 23027804000 24202222004 28784755000 30252777505 48404444008 57569510000 60505555010 96808888016 115139020000 121011110020 151263887525 193617776032 242022220040 302527775050 484044440080 605055550100 756319437625 968088880160 1210111100200 1512638875250 2420222200400 3025277750500 3781597188125 4840444400800 6050555501000 7563194376250 12101111002000 15126388752500 24202222004000 30252777505000 60505555010000 121011110020000