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121102202021148 = 223364713963124121
BaseRepresentation
bin11011100010010001001101…
…101110111010010100011100
3120212210020221200100001211000
4123202101031232322110130
5111333114302204134043
61105321330015230300
734336226313606345
oct3342211556722434
9525706850301730
10121102202021148
1135650178a05297
12116ba502518390
135275b7249352a
1421c9540b7d0cc
15e0022d5c22d3
hex6e244dbba51c

121102202021148 has 96 divisors (see below), whose sum is σ = 314478994475520. Its totient is φ = 40301797760640.

The previous prime is 121102202021081. The next prime is 121102202021149. The reversal of 121102202021148 is 841120202201121.

121102202021148 is a `hidden beast` number, since 12 + 110 + 220 + 202 + 114 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121102202021149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975616528 + ... + 975740648.

It is an arithmetic number, because the mean of its divisors is an integer number (3275822859120).

Almost surely, 2121102202021148 is an apocalyptic number.

121102202021148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121102202021148 is an abundant number, since it is smaller than the sum of its proper divisors (193376792454372).

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

121102202021148 is a wasteful number, since it uses less digits than its factorization.

121102202021148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138744 (or 138736 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 121102202021148 its reverse (841120202201121), we get a palindrome (962222404222269).

The spelling of 121102202021148 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred two million, twenty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 647 1294 1941 2588 3882 5823 7764 11646 13963 17469 23292 27926 34938 41889 55852 69876 83778 124121 125667 167556 248242 251334 372363 377001 496484 502668 744726 754002 1117089 1489452 1508004 2234178 3351267 4468356 6702534 9034061 13405068 18068122 27102183 36136244 54204366 80306287 81306549 108408732 160612574 162613098 240918861 243919647 321225148 325226196 481837722 487839294 722756583 963675444 975678588 1445513166 1733101523 2168269749 2891026332 3466203046 4336539498 5199304569 6932406092 8673078996 10398609138 15597913707 20797218276 31195827414 46793741121 62391654828 93587482242 187174964484 1121316685381 2242633370762 3363950056143 4485266741524 6727900112286 10091850168429 13455800224572 20183700336858 30275550505287 40367400673716 60551101010574 121102202021148