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121458900 = 223522511613
BaseRepresentation
bin1110011110101…
…01000011010100
322110112202021210
413033111003110
5222043141100
620015141420
73003245403
oct717250324
9273482253
10121458900
1162618962
1234814870
131c217c94
14121b963a
15a9e2c50
hex73d50d4

121458900 has 72 divisors (see below), whose sum is σ = 353039904. Its totient is φ = 32240000.

The previous prime is 121458893. The next prime is 121458913. The reversal of 121458900 is 9854121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74494 + ... + 76106.

It is an arithmetic number, because the mean of its divisors is an integer number (4903332).

Almost surely, 2121458900 is an apocalyptic number.

121458900 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 121458900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176519952).

121458900 is an abundant number, since it is smaller than the sum of its proper divisors (231581004).

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

121458900 is a wasteful number, since it uses less digits than its factorization.

121458900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 121458900 is about 11020.8393509750. The cubic root of 121458900 is about 495.2332336243.

The spelling of 121458900 in words is "one hundred twenty-one million, four hundred fifty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 251 300 502 753 1004 1255 1506 1613 2510 3012 3226 3765 4839 5020 6275 6452 7530 8065 9678 12550 15060 16130 18825 19356 24195 25100 32260 37650 40325 48390 75300 80650 96780 120975 161300 241950 404863 483900 809726 1214589 1619452 2024315 2429178 4048630 4858356 6072945 8097260 10121575 12145890 20243150 24291780 30364725 40486300 60729450 121458900