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121202201211042 = 23737538231788067
BaseRepresentation
bin11011100011101110010110…
…001001100011000010100010
3120220010211001210110020210210
4123203232112021203002202
5111341234102002223132
61105435304513034550
734346366350652130
oct3343562611430242
9526124053406723
10121202201211042
1135689623937786
121171596bb55a56
13528241aa7b303
1421d0309a6c750
15e02b326ebbcc
hex6e3b962630a2

121202201211042 has 128 divisors (see below), whose sum is σ = 290241715359744. Its totient is φ = 33017368220928.

The previous prime is 121202201211001. The next prime is 121202201211043. The reversal of 121202201211042 is 240112102202121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (121202201211043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66889893 + ... + 68677959.

It is an arithmetic number, because the mean of its divisors is an integer number (2267513401248).

Almost surely, 2121202201211042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121202201211042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145120857679872).

121202201211042 is an abundant number, since it is smaller than the sum of its proper divisors (169039514148702).

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

121202201211042 is a wasteful number, since it uses less digits than its factorization.

121202201211042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788992.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 121202201211042 its reverse (240112102202121), we get a palindrome (361314303413163).

The spelling of 121202201211042 in words is "one hundred twenty-one trillion, two hundred two billion, two hundred one million, two hundred eleven thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 53 74 106 111 159 222 259 318 371 518 742 777 823 1113 1554 1646 1961 2226 2469 3922 4938 5761 5883 11522 11766 13727 17283 27454 30451 34566 41181 43619 60902 82362 87238 91353 130857 182706 213157 261714 305333 426314 610666 639471 915999 1278942 1613903 1788067 1831998 3227806 3576134 4841709 5364201 9683418 10728402 11297321 12516469 22594642 25032938 33891963 37549407 66158479 67783926 75098814 94767551 132316958 189535102 198475437 284302653 396950874 463109353 568605306 663372857 926218706 1326745714 1389328059 1471579141 1990118571 2778656118 2943158282 3506399387 3980237142 4414737423 7012798774 8829474846 10301053987 10519198161 20602107974 21038396322 24544795709 30903161961 49089591418 54448428217 61806323922 73634387127 77993694473 108896856434 147268774254 155987388946 163345284651 233981083419 326690569302 381138997519 467962166838 545955861311 762277995038 1091911722622 1143416992557 1637867583933 2286833985114 2885766695501 3275735167866 5771533391002 8657300086503 17314600173006 20200366868507 40400733737014 60601100605521 121202201211042