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121421144 = 231329127317
BaseRepresentation
bin1110011110010…
…11110101011000
322110110211111102
413033023311120
5222040434034
620014250532
73003030335
oct717136530
9273424442
10121421144
11625a2559
12347b6a48
131c203a40
14121a998c
15a9d697e
hex73cbd58

121421144 has 64 divisors (see below), whose sum is σ = 256435200. Its totient is φ = 53512704.

The previous prime is 121421137. The next prime is 121421159. The reversal of 121421144 is 441124121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382874 + ... + 383190.

It is an arithmetic number, because the mean of its divisors is an integer number (4006800).

Almost surely, 2121421144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121421144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128217600).

121421144 is an abundant number, since it is smaller than the sum of its proper divisors (135014056).

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

121421144 is a wasteful number, since it uses less digits than its factorization.

121421144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 121421144 is about 11019.1262811531. The cubic root of 121421144 is about 495.1819132085.

Adding to 121421144 its reverse (441124121), we get a palindrome (562545265).

The spelling of 121421144 in words is "one hundred twenty-one million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 127 232 254 317 377 508 634 754 1016 1268 1508 1651 2536 3016 3302 3683 4121 6604 7366 8242 9193 13208 14732 16484 18386 29464 32968 36772 40259 47879 73544 80518 95758 119509 161036 191516 239018 322072 383032 478036 523367 956072 1046734 1167511 2093468 2335022 4186936 4670044 9340088 15177643 30355286 60710572 121421144