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121002322144 = 25112359253321
BaseRepresentation
bin111000010110001001…
…1001110100011100000
3102120022212012211222211
41300230103032203200
53440303043302034
6131330535411504
711512356524254
oct1605423164340
9376285184884
10121002322144
1147353724630
121b54b523b94
13b544a584b2
145bdc4da264
153232e94d64
hex1c2c4ce8e0

121002322144 has 96 divisors (see below), whose sum is σ = 275776462080. Its totient is φ = 51717811200.

The previous prime is 121002322127. The next prime is 121002322151. The reversal of 121002322144 is 441223200121.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 351004 + ... + 604324.

It is an arithmetic number, because the mean of its divisors is an integer number (2872671480).

Almost surely, 2121002322144 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 121002322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137888231040).

121002322144 is an abundant number, since it is smaller than the sum of its proper divisors (154774139936).

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

121002322144 is a wasteful number, since it uses less digits than its factorization.

121002322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253424 (or 253416 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 121002322144 its reverse (441223200121), we get a palindrome (562225522265).

The spelling of 121002322144 in words is "one hundred twenty-one billion, two million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 59 88 92 118 176 184 236 253 352 368 472 506 649 736 944 1012 1298 1357 1888 2024 2596 2714 4048 5192 5428 8096 10384 10856 14927 20768 21712 29854 43424 59708 119416 238832 253321 477664 506642 1013284 2026568 2786531 4053136 5573062 5826383 8106272 11146124 11652766 14945939 22292248 23305532 29891878 44584496 46611064 59783756 64090213 89168992 93222128 119567512 128180426 164405329 186444256 239135024 256360852 328810658 343756597 478270048 512721704 657621316 687513194 1025443408 1315242632 1375026388 2050886816 2630485264 2750052776 3781322567 5260970528 5500105552 7562645134 11000211104 15125290268 30250580536 60501161072 121002322144