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121026000 = 2435323877
BaseRepresentation
bin1110011011010…
…11010111010000
322102201202110110
413031223113100
5221440313000
620002001320
72666463324
oct715532720
9272652413
10121026000
1162352697
1234646240
131c0c5c24
1412105984
15a959850
hex736b5d0

121026000 has 160 divisors (see below), whose sum is σ = 407616768. Its totient is φ = 30835200.

The previous prime is 121025999. The next prime is 121026007. The reversal of 121026000 is 620121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121026007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137562 + ... + 138438.

Almost surely, 2121026000 is an apocalyptic number.

121026000 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 121026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203808384).

121026000 is an abundant number, since it is smaller than the sum of its proper divisors (286590768).

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

121026000 is a wasteful number, since it uses less digits than its factorization.

121026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121026000 is about 11001.1817547025. The cubic root of 121026000 is about 494.6441683094.

Adding to 121026000 its reverse (620121), we get a palindrome (121646121).

The spelling of 121026000 in words is "one hundred twenty-one million, twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 877 920 1000 1104 1150 1200 1380 1500 1725 1754 1840 2000 2300 2631 2760 2875 3000 3450 3508 4385 4600 5262 5520 5750 6000 6900 7016 8625 8770 9200 10524 11500 13155 13800 14032 17250 17540 20171 21048 21925 23000 26310 27600 34500 35080 40342 42096 43850 46000 52620 60513 65775 69000 70160 80684 87700 100855 105240 109625 121026 131550 138000 161368 175400 201710 210480 219250 242052 263100 302565 322736 328875 350800 403420 438500 484104 504275 526200 605130 657750 806840 877000 968208 1008550 1052400 1210260 1315500 1512825 1613680 1754000 2017100 2420520 2521375 2631000 3025650 4034200 4841040 5042750 5262000 6051300 7564125 8068400 10085500 12102600 15128250 20171000 24205200 30256500 40342000 60513000 121026000