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1202121100112 = 242941113559201
BaseRepresentation
bin10001011111100100000…
…000000100101101010000
311020220212212221011022212
4101133210000010231100
5124143421000200422
62320125151051252
7152564452520252
oct21374400045520
94226785834285
101202121100112
114238a9026a99
12174b8bb10b28
1389489b8292a
144227c107cd2
152140b01e9e2
hex117e4004b50

1202121100112 has 80 divisors (see below), whose sum is σ = 2490037033680. Its totient is φ = 561168384000.

The previous prime is 1202121100109. The next prime is 1202121100121. The reversal of 1202121100112 is 2110011212021.

It can be written as a sum of positive squares in 8 ways, for example, as 362471427136 + 839649672976 = 602056^2 + 916324^2 .

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, 1870112 + ... + 2429312.

It is an arithmetic number, because the mean of its divisors is an integer number (31125462921).

Almost surely, 21202121100112 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 1202121100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245018516840).

1202121100112 is an abundant number, since it is smaller than the sum of its proper divisors (1287915933568).

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

1202121100112 is a wasteful number, since it uses less digits than its factorization.

1202121100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559392 (or 559386 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1202121100112 its reverse (2110011212021), we get a palindrome (3312132312133).

It can be divided in two parts, 12021 and 21100112, that multiplied together give a palindrome (253644446352).

The spelling of 1202121100112 in words is "one trillion, two hundred two billion, one hundred twenty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 41 58 82 113 116 164 226 232 328 452 464 656 904 1189 1808 2378 3277 4633 4756 6554 9266 9512 13108 18532 19024 26216 37064 52432 74128 134357 268714 537428 559201 1074856 1118402 2149712 2236804 4473608 8947216 16216829 22927241 32433658 45854482 63189713 64867316 91708964 126379426 129734632 183417928 252758852 259469264 366835856 505517704 664889989 1011035408 1329779978 1832501677 2590778233 2659559956 3665003354 5181556466 5319119912 7330006708 10363112932 10638239824 14660013416 20726225864 29320026832 41452451728 75132568757 150265137514 300530275028 601060550056 1202121100112