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1215225450252 = 22321171311138977
BaseRepresentation
bin10001101011110001000…
…101001100111100001100
311022011201011002010021100
4101223301011030330030
5124402240203402002
62330133350503100
7153540263615562
oct21536105147414
94264634063240
101215225450252
114294130a4230
12177628664a90
138a797a5c178
1442b62677a32
15219266d511c
hex11af114cf0c

1215225450252 has 144 divisors (see below), whose sum is σ = 3409225956864. Its totient is φ = 361893504000.

The previous prime is 1215225450217. The next prime is 1215225450331. The reversal of 1215225450252 is 2520545225121.

1215225450252 is a `hidden beast` number, since 1 + 2 + 1 + 52 + 2 + 54 + 502 + 52 = 666.

It is a super-2 number, since 2×12152254502522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8674588 + ... + 8813564.

It is an arithmetic number, because the mean of its divisors is an integer number (23675180256).

Almost surely, 21215225450252 is an apocalyptic number.

1215225450252 is a gapful number since it is divisible by the number (12) 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 1215225450252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704612978432).

1215225450252 is an abundant number, since it is smaller than the sum of its proper divisors (2194000506612).

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

1215225450252 is a wasteful number, since it uses less digits than its factorization.

1215225450252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139380 (or 139375 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 1215225450252 in words is "one trillion, two hundred fifteen billion, two hundred twenty-five million, four hundred fifty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 311 396 426 622 639 781 852 933 1244 1278 1562 1866 2343 2556 2799 3124 3421 3732 4686 5598 6842 7029 9372 10263 11196 13684 14058 20526 22081 28116 30789 41052 44162 61578 66243 88324 123156 132486 138977 198729 242891 264972 277954 397458 416931 485782 555908 728673 794916 833862 971564 1250793 1457346 1528747 1667724 2186019 2501586 2914692 3057494 4372038 4586241 5003172 6114988 8744076 9172482 9867367 13758723 18344964 19734734 27517446 29602101 39469468 43221847 55034892 59204202 86443694 88806303 108541037 118408404 129665541 172887388 177612606 217082074 259331082 325623111 355225212 388996623 434164148 475440317 518662164 651246222 777993246 950880634 976869333 1302492444 1426320951 1555986492 1901761268 1953738666 2852641902 3068751137 3907477332 4278962853 5705283804 6137502274 8557925706 9206253411 12275004548 17115851412 18412506822 27618760233 33756262507 36825013644 55237520466 67512525014 101268787521 110475040932 135025050028 202537575042 303806362563 405075150084 607612725126 1215225450252