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1202202100120 = 2357293132111093
BaseRepresentation
bin10001011111101000110…
…101000100000110011000
311020221002112100101110011
4101133220311010012120
5124144102214200440
62320141203131304
7152566455150010
oct21375065040630
94227075311404
101202202100120
1142393a82054a
12174bb3073b34
13894a08a3228
1442288b90c40
15214131be9ea
hex117e8d44198

1202202100120 has 128 divisors (see below), whose sum is σ = 3104555610240. Its totient is φ = 410428846080.

The previous prime is 1202202100111. The next prime is 1202202100133. The reversal of 1202202100120 is 210012022021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1202202100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108369294 + ... + 108380386.

It is an arithmetic number, because the mean of its divisors is an integer number (24254340705).

Almost surely, 21202202100120 is an apocalyptic number.

1202202100120 is a gapful number since it is divisible by the number (10) 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 1202202100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552277805120).

1202202100120 is an abundant number, since it is smaller than the sum of its proper divisors (1902353510120).

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

1202202100120 is a wasteful number, since it uses less digits than its factorization.

1202202100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12725 (or 12721 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1202202100120 its reverse (210012022021), we get a palindrome (1412214122141).

The spelling of 1202202100120 in words is "one trillion, two hundred two billion, two hundred two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 293 586 1172 1321 1465 2051 2344 2642 2930 4102 5284 5860 6605 8204 9247 10255 10568 11093 11720 13210 16408 18494 20510 22186 26420 36988 41020 44372 46235 52840 55465 73976 77651 82040 88744 92470 110930 155302 184940 221860 310604 369880 387053 388255 443720 621208 774106 776510 1548212 1553020 1935265 2709371 3096424 3106040 3250249 3870530 5418742 6500498 7741060 10837484 13000996 13546855 14653853 15482120 16251245 21674968 22751743 26001992 27093710 29307706 32502490 45503486 54187420 58615412 65004980 73269265 91006972 102576971 108374840 113758715 117230824 130009960 146538530 182013944 205153942 227517430 293077060 410307884 455034860 512884855 586154120 820615768 910069720 1025769710 2051539420 4103078840 4293578929 8587157858 17174315716 21467894645 30055052503 34348631432 42935789290 60110105006 85871578580 120220210012 150275262515 171743157160 240440420024 300550525030 601101050060 1202202100120