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12210011102000 = 245328372151923
BaseRepresentation
bin1011000110101101110101…
…0111111101101100110000
31121020021011200000110111102
42301223131113331230300
53100022100320231000
641545111320503532
72400100312640555
oct261533527755460
947207150013442
1012210011102000
113988266a53118
12145247001aba8
136a7525ab554a
14302d794b2a2c
151629251e73d5
hexb1add5fdb30

12210011102000 has 80 divisors (see below), whose sum is σ = 29534227268832. Its totient is φ = 4882280633600.

The previous prime is 12210011101991. The next prime is 12210011102053. The reversal of 12210011102000 is 20111001221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122100111020002 (a number of 27 digits) contains 22 as substring.

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, 4598039 + ... + 6749961.

Almost surely, 212210011102000 is an apocalyptic number.

12210011102000 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 12210011102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767113634416).

12210011102000 is an abundant number, since it is smaller than the sum of its proper divisors (17324216166832).

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

12210011102000 is a wasteful number, since it uses less digits than its factorization.

12210011102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154783 (or 2154767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12210011102000 its reverse (20111001221), we get a palindrome (12230122103221).

The spelling of 12210011102000 in words is "twelve trillion, two hundred ten billion, eleven million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2837 5674 11348 14185 22696 28370 45392 56740 70925 113480 141850 226960 283700 354625 567400 709250 1134800 1418500 2151923 2837000 4303846 5674000 8607692 10759615 17215384 21519230 34430768 43038460 53798075 86076920 107596150 172153840 215192300 268990375 430384600 537980750 860769200 1075961500 2151923000 4303846000 6105005551 12210011102 24420022204 30525027755 48840044408 61050055510 97680088816 122100111020 152625138775 244200222040 305250277550 488400444080 610500555100 763125693875 1221001110200 1526251387750 2442002220400 3052502775500 6105005551000 12210011102000