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121421400 = 233521910651
BaseRepresentation
bin1110011110010…
…11111001011000
322110110211211220
413033023321120
5222040441100
620014252040
73003031152
oct717137130
9273424756
10121421400
11625a2771
12347b7020
131c203ba9
14121a9ad2
15a9d6aa0
hex73cbe58

121421400 has 96 divisors (see below), whose sum is σ = 396254400. Its totient is φ = 30672000.

The previous prime is 121421369. The next prime is 121421413. The reversal of 121421400 is 4124121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121421400.

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, 6075 + ... + 16725.

It is an arithmetic number, because the mean of its divisors is an integer number (4127650).

Almost surely, 2121421400 is an apocalyptic number.

121421400 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 121421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198127200).

121421400 is an abundant number, since it is smaller than the sum of its proper divisors (274833000).

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

121421400 is a wasteful number, since it uses less digits than its factorization.

121421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10689 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 121421400 is about 11019.1378973130. The cubic root of 121421400 is about 495.1822612162.

Adding to 121421400 its reverse (4124121), we get a palindrome (125545521).

The spelling of 121421400 in words is "one hundred twenty-one million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 10651 11400 21302 31953 42604 53255 63906 85208 106510 127812 159765 202369 213020 255624 266275 319530 404738 426040 532550 607107 639060 798825 809476 1011845 1065100 1214214 1278120 1597650 1618952 2023690 2130200 2428428 3035535 3195300 4047380 4856856 5059225 6071070 6390600 8094760 10118450 12142140 15177675 20236900 24284280 30355350 40473800 60710700 121421400