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122101402225 = 521117473171753
BaseRepresentation
bin111000110110111001…
…1111000101001110001
3102200011110022220102111
41301231303320221301
54000030424332400
6132032000445321
711551533536335
oct1615563705161
9380143286374
10122101402225
1147868070780
121b7b7619841
13b68b67653a
145ca44797c5
1532996e83ba
hex1c6dcf8a71

122101402225 has 96 divisors (see below), whose sum is σ = 179272382976. Its totient is φ = 81494630400.

The previous prime is 122101402223. The next prime is 122101402261. The reversal of 122101402225 is 522204101221.

It is not a de Polignac number, because 122101402225 - 21 = 122101402223 is a prime.

It is a super-2 number, since 2×1221014022252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122101402196 and 122101402205.

It is not an unprimeable number, because it can be changed into a prime (122101402223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69651949 + ... + 69653701.

It is an arithmetic number, because the mean of its divisors is an integer number (1867420656).

Almost surely, 2122101402225 is an apocalyptic number.

It is an amenable number.

122101402225 is a deficient number, since it is larger than the sum of its proper divisors (57170980751).

122101402225 is a wasteful number, since it uses less digits than its factorization.

122101402225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 122101402225 its reverse (522204101221), we get a palindrome (644305503446).

The spelling of 122101402225 in words is "one hundred twenty-two billion, one hundred one million, four hundred two thousand, two hundred twenty-five".

Divisors: 1 5 11 17 25 47 55 85 187 235 275 317 425 517 799 935 1175 1585 1753 2585 3487 3995 4675 5389 7925 8765 8789 12925 14899 17435 19283 19975 26945 29801 43825 43945 59279 74495 82391 87175 96415 134725 149005 163889 219725 253283 296395 327811 372475 411955 482075 555701 745025 819445 906301 1266415 1400647 1481975 1639055 2059775 2778505 2786113 4097225 4531505 6112711 6332075 7003235 8195275 9446917 13892525 13930565 15407117 22657525 26117947 30563555 35016175 47234585 69652825 77035585 103916087 130589735 152817775 236172925 287297417 385177925 444005099 519580435 652948675 1436487085 2220025495 2597902175 4884056089 7182435425 11100127475 24420280445 122101402225